{"task":"Image Description","image":"hex_pathfinding_0001.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0001.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0001.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0001.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0001.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0002.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0002.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0002.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0002.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0002.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0003.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":3,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0003.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":3,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0003.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":3,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0003.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":3,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0003.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":3,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0004.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":4,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0004.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":4,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0004.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":4,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0004.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":4,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0004.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":4,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0005.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":5,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0005.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":5,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0005.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":5,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0005.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":5,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0005.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":5,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0006.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":6,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0006.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":6,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0006.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":6,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0006.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":6,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0006.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":6,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0007.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":7,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0007.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":7,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0007.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":7,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0007.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":7,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0007.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":7,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0008.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":8,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0008.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":8,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0008.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":8,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0008.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":8,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0008.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":8,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0009.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":9,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0009.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":9,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0009.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":9,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0009.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":9,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0009.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":9,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0010.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":10,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0010.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":10,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0010.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":10,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0010.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":10,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0010.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":10,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0011.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":11,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0011.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":11,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0011.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":11,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0011.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":11,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0011.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":11,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0012.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":12,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0012.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":12,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0012.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":12,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0012.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":12,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0012.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":12,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0013.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":13,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0013.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":13,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0013.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":13,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0013.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":13,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0013.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":13,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0014.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":14,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0014.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":14,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0014.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":14,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0014.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":14,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0014.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":14,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0015.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":15,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0015.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":15,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0015.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":15,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0015.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":15,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0015.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":15,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0016.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":16,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0016.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":16,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0016.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":16,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0016.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":16,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0016.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":16,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0017.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":17,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0017.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":17,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0017.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":17,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0017.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":17,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0017.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":17,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0018.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":18,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0018.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":18,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0018.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":18,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0018.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":18,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0018.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":18,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0019.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":19,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0019.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":19,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0019.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":19,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0019.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":19,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0019.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":19,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0020.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":20,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0020.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":20,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0020.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":20,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0020.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":20,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0020.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":20,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0021.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":21,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0021.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":21,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0021.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":21,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0021.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":21,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0021.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":21,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0022.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":22,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0022.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":22,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0022.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":22,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0022.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":22,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0022.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":22,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0023.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":23,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0023.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":23,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0023.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":23,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0023.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":23,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0023.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":23,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0024.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":24,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0024.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":24,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0024.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":24,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0024.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":24,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0024.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":24,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0025.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":25,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0025.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":25,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0025.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":25,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0025.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":25,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0025.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":25,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0026.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":26,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0026.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":26,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0026.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":26,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0026.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":26,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0026.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":26,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0027.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":27,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0027.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":27,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0027.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":27,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0027.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":27,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0027.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":27,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0028.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":28,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0028.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":28,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0028.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":28,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0028.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":28,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0028.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":28,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0029.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":29,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0029.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":29,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0029.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":29,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0029.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":29,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0029.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":29,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0030.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":30,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0030.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":30,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0030.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":30,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0030.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":30,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0030.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":30,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0031.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":31,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0031.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":31,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0031.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":31,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0031.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":31,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0031.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":31,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0032.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":32,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0032.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":32,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0032.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":32,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0032.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":32,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0032.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":32,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0033.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":33,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0033.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":33,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0033.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":33,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0033.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":33,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0033.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":33,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0034.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":34,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0034.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":34,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0034.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":34,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0034.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":34,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0034.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":34,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0035.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":35,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0035.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":35,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0035.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":35,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0035.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":35,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0035.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":35,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0036.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":36,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0036.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":36,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0036.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":36,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0036.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":36,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0036.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":36,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0037.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":37,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0037.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":37,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0037.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":37,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0037.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":37,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0037.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":37,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0038.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":38,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0038.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":38,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0038.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":38,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0038.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":38,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0038.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":38,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0039.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":39,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0039.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":39,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0039.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":39,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0039.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":39,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0039.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":39,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0040.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":40,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0040.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":40,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0040.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":40,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0040.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":40,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0040.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":40,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0041.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":41,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0041.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":41,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0041.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":41,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0041.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":41,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0041.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":41,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0042.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":42,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0042.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":42,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0042.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":42,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0042.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":42,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0042.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":42,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0043.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":43,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0043.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":43,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0043.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":43,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0043.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":43,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0043.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":43,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0044.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":44,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0044.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":44,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0044.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":44,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0044.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":44,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0044.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":44,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0045.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":45,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0045.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":45,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0045.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":45,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0045.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":45,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0045.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":45,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0046.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":46,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0046.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":46,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0046.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":46,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0046.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":46,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0046.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":46,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0047.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":47,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0047.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":47,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0047.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":47,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0047.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":47,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0047.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":47,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0048.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":48,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0048.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":48,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0048.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":48,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0048.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":48,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0048.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":48,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0049.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":49,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0049.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":49,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0049.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":49,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0049.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":49,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0049.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":49,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0050.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":50,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0050.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":50,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0050.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":50,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0050.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":50,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0050.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":50,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0051.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":51,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0051.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":51,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0051.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":51,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0051.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":51,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0051.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":51,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0052.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":52,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0052.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":52,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0052.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":52,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0052.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":52,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0052.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":52,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0053.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":53,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0053.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":53,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0053.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":53,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0053.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":53,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0053.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":53,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0054.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":16,\"seed\":54,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0054.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":16,\"seed\":54,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0054.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":16,\"seed\":54,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0054.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":16,\"seed\":54,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0054.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":16,\"seed\":54,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0055.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":55,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0055.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":55,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0055.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":55,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0055.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":55,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0055.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":55,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0056.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":56,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0056.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":56,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0056.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":56,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0056.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":56,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0056.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":56,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0057.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":57,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0057.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":57,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0057.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":57,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0057.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":57,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0057.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":57,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0058.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":58,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0058.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":58,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0058.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":58,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0058.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":58,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0058.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":58,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0059.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":59,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0059.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":59,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0059.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":59,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0059.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":59,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0059.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":59,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0060.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":60,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0060.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":60,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0060.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":60,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0060.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":60,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0060.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":60,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0061.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":61,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0061.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":61,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0061.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":61,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0061.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":61,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0061.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":61,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0062.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":62,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0062.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":62,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0062.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":62,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0062.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":62,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0062.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":62,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0063.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":63,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0063.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":63,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0063.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":63,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0063.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":63,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0063.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":63,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0064.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":64,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0064.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":64,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0064.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":64,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0064.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":64,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0064.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":64,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0065.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":65,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0065.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":65,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0065.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":65,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0065.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":65,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0065.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":65,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0066.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":66,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0066.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":66,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0066.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":66,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0066.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":66,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0066.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":66,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0067.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":67,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0067.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":67,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0067.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":67,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0067.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":67,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0067.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":67,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0068.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":68,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0068.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":68,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0068.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":68,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0068.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":68,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0068.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":68,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0069.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":69,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0069.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":69,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0069.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":69,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0069.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":69,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0069.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":69,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0070.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":70,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0070.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":70,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0070.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":70,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0070.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":70,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0070.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":70,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0071.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":71,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0071.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":71,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0071.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":71,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0071.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":71,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0071.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":71,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0072.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":72,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0072.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":72,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0072.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":72,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0072.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":72,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0072.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":72,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0073.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":73,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0073.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":73,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0073.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":73,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0073.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":73,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0073.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":73,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0074.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":74,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0074.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":74,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0074.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":74,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0074.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":74,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0074.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":74,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0075.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":75,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0075.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":75,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0075.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":75,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0075.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":75,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0075.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":75,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0076.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":76,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0076.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":76,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0076.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":76,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0076.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":76,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0076.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":76,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0077.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":77,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0077.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":77,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0077.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":77,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0077.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":77,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0077.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":77,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0078.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":14,\"seed\":78,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0078.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":14,\"seed\":78,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0078.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":14,\"seed\":78,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0078.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":14,\"seed\":78,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0078.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":14,\"seed\":78,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0079.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":79,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0079.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":79,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0079.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":79,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0079.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":79,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0079.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":79,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0080.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":10,\"seed\":80,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0080.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":10,\"seed\":80,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0080.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":10,\"seed\":80,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0080.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":10,\"seed\":80,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0080.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":10,\"seed\":80,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0081.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":15,\"seed\":81,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0081.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":15,\"seed\":81,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0081.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":15,\"seed\":81,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0081.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (30)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":15,\"seed\":81,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0081.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":15,\"seed\":81,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0082.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":82,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0082.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":82,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0082.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":82,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0082.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":82,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0082.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":82,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0083.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":9,\"seed\":83,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0083.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":9,\"seed\":83,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0083.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":9,\"seed\":83,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0083.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":9,\"seed\":83,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0083.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":9,\"seed\":83,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0084.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":84,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0084.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":84,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0084.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":84,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0084.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":84,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0084.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":84,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0085.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":85,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0085.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":85,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0085.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":85,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0085.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":85,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0085.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":85,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0086.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":86,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0086.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":86,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0086.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":86,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0086.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":86,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0086.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":86,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0087.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":87,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0087.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":87,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0087.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":87,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0087.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":87,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0087.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":87,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0088.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":88,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0088.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":88,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0088.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":88,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0088.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":88,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0088.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":88,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0089.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":89,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0089.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":89,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0089.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":89,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0089.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":89,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0089.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":89,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0090.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":90,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0090.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":90,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0090.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":90,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0090.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":90,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0090.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":90,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0091.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":91,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0091.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":91,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0091.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":91,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0091.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":91,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0091.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":91,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0092.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":92,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0092.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":92,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0092.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":92,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0092.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":92,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0092.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":92,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0093.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":93,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0093.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":93,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0093.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":93,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0093.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":93,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0093.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":93,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0094.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":94,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0094.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":94,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0094.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":94,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0094.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":94,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0094.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":94,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0095.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":95,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0095.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":95,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0095.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":95,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0095.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":95,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0095.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":95,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0096.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":96,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0096.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":96,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0096.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":96,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0096.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":96,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0096.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":96,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0097.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":97,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0097.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":97,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0097.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":97,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0097.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":97,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0097.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":97,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0098.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":98,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0098.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":98,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0098.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":98,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0098.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":98,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0098.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":98,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0099.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":99,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0099.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":99,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0099.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":99,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0099.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":99,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0099.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":99,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0100.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":100,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0100.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":100,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0100.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":100,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0100.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":100,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0100.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":100,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0101.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":101,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0101.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":101,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0101.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":101,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0101.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":101,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0101.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":101,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0102.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":17,\"seed\":102,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0102.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":17,\"seed\":102,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0102.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":17,\"seed\":102,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0102.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":17,\"seed\":102,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0102.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":17,\"seed\":102,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0103.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":103,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0103.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":103,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0103.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":103,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0103.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":103,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0103.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":103,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0104.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":104,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0104.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":104,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0104.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":104,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0104.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":104,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0104.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":104,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0105.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":105,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0105.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":105,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0105.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":105,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0105.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":105,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0105.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":105,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0106.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":106,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0106.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":106,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0106.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":106,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0106.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":106,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0106.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":106,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0107.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":107,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0107.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":107,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0107.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":107,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0107.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":107,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0107.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":107,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0108.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":108,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0108.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":108,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0108.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":108,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0108.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":108,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0108.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":108,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0109.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":109,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0109.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":109,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0109.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":109,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0109.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":109,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0109.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":109,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0110.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":110,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0110.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":110,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0110.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":110,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0110.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":110,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0110.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":110,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0111.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":111,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0111.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":111,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0111.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":111,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0111.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":111,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0111.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":111,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0112.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":112,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0112.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":112,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0112.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":112,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0112.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":112,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0112.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":112,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0113.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":113,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0113.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":113,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0113.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":113,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0113.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":113,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0113.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":113,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0114.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":114,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0114.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":114,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0114.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":114,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0114.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":114,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0114.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":114,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0115.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":115,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0115.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":115,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0115.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":115,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0115.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":115,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0115.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":115,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0116.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":116,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0116.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":116,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0116.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":116,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0116.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":116,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0116.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":116,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0117.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":117,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0117.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":117,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0117.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":117,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0117.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":117,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0117.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":117,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0118.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":118,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0118.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":118,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0118.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":118,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0118.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":118,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0118.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":118,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0119.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":119,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0119.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":119,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0119.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":119,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0119.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":119,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0119.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":119,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0120.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":120,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0120.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":120,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0120.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":120,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0120.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":120,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0120.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":120,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0121.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":121,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0121.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":121,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0121.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":121,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0121.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":121,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0121.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":121,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0122.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":122,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0122.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":122,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0122.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":122,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0122.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":122,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0122.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":122,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0123.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":123,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0123.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":123,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0123.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":123,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0123.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":123,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0123.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":123,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0124.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":124,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0124.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":124,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0124.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":124,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0124.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":124,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0124.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":124,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0125.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":125,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0125.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":125,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0125.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":125,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0125.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":125,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0125.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":125,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0126.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":47,\"num_hole_tiles\":18,\"seed\":126,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0126.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":47,\"num_hole_tiles\":18,\"seed\":126,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0126.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":47,\"num_hole_tiles\":18,\"seed\":126,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0126.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (47)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":47,\"num_hole_tiles\":18,\"seed\":126,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0126.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":47,\"num_hole_tiles\":18,\"seed\":126,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0127.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":127,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0127.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":127,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0127.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":127,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0127.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":127,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0127.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":127,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0128.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":128,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0128.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":128,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0128.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":128,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0128.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":128,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0128.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":128,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0129.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":129,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0129.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":129,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0129.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":129,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0129.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":129,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0129.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":129,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0130.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":130,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0130.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":130,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0130.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":130,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0130.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":130,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0130.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":130,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0131.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":131,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0131.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":131,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0131.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":131,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0131.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":131,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0131.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":131,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0132.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":132,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0132.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":132,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0132.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":132,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0132.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":132,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0132.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":132,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0133.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":133,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0133.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":133,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0133.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":133,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0133.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":133,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0133.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":133,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0134.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":134,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0134.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":134,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0134.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":134,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0134.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":134,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0134.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":134,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0135.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":135,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0135.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":135,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0135.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":135,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0135.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":135,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0135.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":135,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0136.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":136,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0136.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":136,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0136.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":136,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0136.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":136,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0136.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":136,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0137.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":137,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0137.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":137,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0137.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":137,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0137.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":137,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0137.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":137,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0138.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":138,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0138.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":138,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0138.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":138,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0138.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":138,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0138.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":138,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0139.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":139,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0139.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":139,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0139.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":139,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0139.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":139,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0139.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":139,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0140.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":140,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0140.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":140,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0140.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":140,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0140.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":140,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0140.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":140,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0141.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":141,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0141.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":141,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0141.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":141,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0141.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":141,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0141.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":141,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0142.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":142,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0142.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":142,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0142.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":142,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0142.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":142,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0142.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":142,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0143.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":143,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0143.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":143,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0143.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":143,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0143.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":143,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0143.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":143,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0144.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":144,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0144.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":144,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0144.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":144,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0144.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":144,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0144.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":144,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0145.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":145,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0145.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":145,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0145.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":145,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0145.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":145,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0145.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":145,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0146.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":146,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0146.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":146,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0146.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":146,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0146.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":146,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0146.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":146,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0147.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":147,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0147.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":147,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0147.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":147,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0147.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":147,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0147.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":147,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0148.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":148,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0148.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":148,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0148.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":148,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0148.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":148,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0148.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":148,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0149.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":149,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0149.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":149,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0149.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":149,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0149.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":149,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0149.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":149,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0150.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":16,\"seed\":150,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0150.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":16,\"seed\":150,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0150.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":16,\"seed\":150,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0150.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (56)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":16,\"seed\":150,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0150.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":16,\"seed\":150,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0151.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":151,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0151.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":151,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0151.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":151,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0151.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":151,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0151.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":151,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0152.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":152,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0152.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":152,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0152.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":152,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0152.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":152,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0152.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":152,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0153.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":153,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0153.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":153,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0153.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":153,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0153.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":153,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0153.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":153,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0154.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":154,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0154.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":154,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0154.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":154,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0154.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":154,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0154.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":154,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0155.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":155,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0155.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":155,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0155.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":155,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0155.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":155,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0155.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":155,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0156.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":156,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0156.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":156,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0156.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":156,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0156.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":156,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0156.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":156,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0157.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":157,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0157.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":157,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0157.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":157,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0157.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":157,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0157.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":157,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0158.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":158,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0158.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":158,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0158.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":158,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0158.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":158,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0158.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":158,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0159.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":16,\"seed\":159,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0159.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":16,\"seed\":159,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0159.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":16,\"seed\":159,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0159.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (40)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":16,\"seed\":159,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0159.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":16,\"seed\":159,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0160.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":160,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0160.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":160,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0160.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":160,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0160.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":160,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0160.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":160,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0161.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":161,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0161.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":161,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0161.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":161,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0161.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":161,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0161.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":161,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0162.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":162,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0162.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":162,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0162.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":162,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0162.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":162,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0162.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":162,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0163.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":163,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0163.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":163,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0163.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":163,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0163.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":163,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0163.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":163,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0164.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":164,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0164.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":164,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0164.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":164,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0164.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":164,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0164.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":164,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0165.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":165,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0165.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":165,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0165.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":165,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0165.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":165,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0165.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":165,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0166.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":166,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0166.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":166,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0166.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":166,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0166.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":166,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0166.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":166,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0167.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":167,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0167.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":167,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0167.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":167,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0167.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":167,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0167.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":167,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0168.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":168,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0168.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":168,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0168.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":168,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0168.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":168,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0168.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":168,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0169.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":169,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0169.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":169,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0169.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":169,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0169.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":169,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0169.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":169,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0170.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":170,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0170.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":170,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0170.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":170,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0170.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":170,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0170.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":170,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0171.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":21,\"seed\":171,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0171.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":21,\"seed\":171,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0171.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":21,\"seed\":171,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0171.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":21,\"seed\":171,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0171.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":21,\"seed\":171,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0172.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":172,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0172.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":172,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0172.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":172,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0172.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":172,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0172.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":172,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0173.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":173,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0173.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":173,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0173.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":173,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0173.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":173,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0173.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":173,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0174.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":174,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0174.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":174,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0174.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":174,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0174.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":174,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0174.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":174,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0175.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":175,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0175.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":175,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0175.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":175,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0175.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":175,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0175.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":175,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0176.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":176,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0176.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":176,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0176.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":176,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0176.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":176,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0176.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":176,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0177.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":177,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0177.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":177,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0177.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":177,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0177.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":177,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0177.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":177,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0178.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":178,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0178.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":178,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0178.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":178,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0178.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":178,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0178.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":178,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0179.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":179,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0179.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":179,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0179.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":179,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0179.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":179,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0179.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":179,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0180.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":180,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0180.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":180,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0180.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":180,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0180.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":180,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0180.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":180,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0181.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":181,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0181.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":181,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0181.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":181,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0181.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":181,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0181.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":181,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0182.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":182,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0182.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":182,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0182.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":182,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0182.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":182,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0182.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":182,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0183.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":183,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0183.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":183,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0183.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":183,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0183.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":183,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0183.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":183,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0184.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":184,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0184.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":184,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0184.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":184,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0184.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":184,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0184.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":184,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0185.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":185,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0185.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":185,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0185.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":185,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0185.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":185,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0185.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":185,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0186.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":186,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0186.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":186,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0186.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":186,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0186.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":186,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0186.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":186,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0187.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":187,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0187.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":187,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0187.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":187,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0187.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":187,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0187.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":187,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0188.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":188,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0188.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":188,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0188.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":188,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0188.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":188,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0188.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":188,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0189.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":189,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0189.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":189,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0189.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":189,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0189.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":189,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0189.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":189,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0190.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":190,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0190.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":190,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0190.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":190,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0190.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":190,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0190.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":190,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0191.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":191,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0191.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":191,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0191.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":191,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0191.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":191,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0191.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":191,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0192.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":192,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0192.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":192,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0192.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":192,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0192.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":192,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0192.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":192,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0193.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":193,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0193.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":193,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0193.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":193,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0193.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":193,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0193.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":193,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0194.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":194,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0194.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":194,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0194.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":194,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0194.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":194,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0194.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":194,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0195.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":15,\"seed\":195,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0195.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":15,\"seed\":195,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0195.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":15,\"seed\":195,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0195.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":15,\"seed\":195,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0195.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":15,\"seed\":195,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0196.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":196,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0196.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":196,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0196.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":196,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0196.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":196,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0196.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":196,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0197.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":197,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0197.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":197,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0197.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":197,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0197.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":197,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0197.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":197,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0198.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":198,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0198.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":198,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0198.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":198,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0198.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":198,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0198.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":198,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0199.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":199,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0199.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":199,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0199.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":199,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0199.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":199,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0199.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":199,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0200.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":200,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0200.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":200,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0200.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":200,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0200.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":200,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0200.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":200,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0201.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":201,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0201.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":201,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0201.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":201,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0201.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":201,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0201.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":201,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0202.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":202,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0202.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":202,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0202.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":202,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0202.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":202,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0202.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":202,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0203.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":203,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0203.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":203,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0203.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":203,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0203.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":203,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0203.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":203,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0204.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":204,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0204.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":204,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0204.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":204,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0204.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":204,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0204.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":204,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0205.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":205,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0205.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":205,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0205.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":205,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0205.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":205,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0205.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":205,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0206.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":206,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0206.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":206,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0206.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":206,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0206.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":206,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0206.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":206,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0207.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":207,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0207.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":207,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0207.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":207,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0207.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":207,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0207.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":207,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0208.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":208,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0208.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":208,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0208.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":208,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0208.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":208,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0208.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":208,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0209.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":209,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0209.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":209,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0209.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":209,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0209.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":209,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0209.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":209,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0210.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":210,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0210.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":210,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0210.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":210,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0210.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":210,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0210.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":210,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0211.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":211,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0211.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":211,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0211.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":211,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0211.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":211,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0211.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":211,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0212.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":212,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0212.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":212,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0212.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":212,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0212.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":212,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0212.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":212,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0213.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":11,\"seed\":213,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0213.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":11,\"seed\":213,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0213.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":11,\"seed\":213,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0213.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":11,\"seed\":213,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0213.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":11,\"seed\":213,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0214.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":214,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0214.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":214,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0214.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":214,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0214.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":214,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0214.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":214,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0215.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":215,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0215.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":215,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0215.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":215,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0215.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":215,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0215.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":215,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0216.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":216,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0216.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":216,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0216.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":216,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0216.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":216,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0216.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":216,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0217.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":217,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0217.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":217,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0217.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":217,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0217.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":217,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0217.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":217,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0218.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":218,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0218.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":218,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0218.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":218,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0218.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":218,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0218.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":218,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0219.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":219,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0219.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":219,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0219.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":219,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0219.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":219,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0219.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":219,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0220.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":220,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0220.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":220,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0220.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":220,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0220.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":220,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0220.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":220,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0221.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":221,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0221.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":221,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0221.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":221,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0221.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":221,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0221.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":221,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0222.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":55,\"num_hole_tiles\":19,\"seed\":222,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0222.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":55,\"num_hole_tiles\":19,\"seed\":222,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0222.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":55,\"num_hole_tiles\":19,\"seed\":222,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0222.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (55)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":55,\"num_hole_tiles\":19,\"seed\":222,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0222.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":55,\"num_hole_tiles\":19,\"seed\":222,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0223.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":223,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0223.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":223,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0223.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":223,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0223.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":223,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0223.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":223,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0224.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":224,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0224.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":224,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0224.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":224,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0224.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":224,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0224.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":224,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0225.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":18,\"seed\":225,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0225.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":18,\"seed\":225,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0225.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":18,\"seed\":225,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0225.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (29)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":18,\"seed\":225,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0225.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":18,\"seed\":225,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0226.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":226,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0226.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":226,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0226.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":226,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0226.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":226,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0226.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":226,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0227.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":227,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0227.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":227,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0227.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":227,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0227.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":227,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0227.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":227,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0228.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":228,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0228.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":228,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0228.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":228,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0228.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":228,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0228.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":228,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0229.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":229,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0229.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":229,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0229.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":229,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0229.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":229,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0229.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":229,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0230.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":230,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0230.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":230,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0230.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":230,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0230.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":230,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0230.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":230,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0231.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":231,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0231.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":231,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0231.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":231,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0231.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":231,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0231.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":231,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0232.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":232,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0232.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":232,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0232.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":232,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0232.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":232,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0232.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":232,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0233.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":233,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0233.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":233,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0233.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":233,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0233.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":233,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0233.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":233,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0234.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":234,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0234.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":234,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0234.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":234,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0234.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":234,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0234.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":234,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0235.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":235,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0235.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":235,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0235.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":235,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0235.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":235,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0235.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":235,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0236.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":236,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0236.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":236,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0236.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":236,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0236.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":236,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0236.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":236,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0237.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":237,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0237.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":237,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0237.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":237,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0237.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":237,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0237.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":237,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0238.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":238,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0238.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":238,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0238.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":238,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0238.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":238,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0238.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":238,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0239.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":239,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0239.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":239,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0239.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":239,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0239.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":239,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0239.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":239,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0240.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":240,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0240.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":240,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0240.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":240,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0240.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":240,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0240.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":240,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0241.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":241,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0241.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":241,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0241.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":241,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0241.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":241,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0241.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":241,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0242.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":242,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0242.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":242,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0242.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":242,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0242.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":242,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0242.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":242,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0243.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":19,\"seed\":243,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0243.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":19,\"seed\":243,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0243.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":19,\"seed\":243,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0243.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":19,\"seed\":243,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0243.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":19,\"seed\":243,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0244.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":244,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0244.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":244,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0244.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":244,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0244.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":244,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0244.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":244,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0245.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":245,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0245.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":245,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0245.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":245,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0245.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":245,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0245.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":245,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0246.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":246,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0246.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":246,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0246.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":246,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0246.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":246,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0246.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":246,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0247.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":247,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0247.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":247,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0247.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":247,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0247.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":247,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0247.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":247,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0248.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":248,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0248.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":248,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0248.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":248,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0248.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":248,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0248.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":248,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0249.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":249,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0249.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":249,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0249.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":249,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0249.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":249,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0249.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":249,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0250.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":250,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0250.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":250,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0250.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":250,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0250.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":250,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0250.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":250,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0251.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":251,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0251.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":251,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0251.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":251,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0251.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":251,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0251.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":251,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0252.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":69,\"num_hole_tiles\":13,\"seed\":252,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0252.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":69,\"num_hole_tiles\":13,\"seed\":252,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0252.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":69,\"num_hole_tiles\":13,\"seed\":252,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0252.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (69)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":69,\"num_hole_tiles\":13,\"seed\":252,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0252.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":69,\"num_hole_tiles\":13,\"seed\":252,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0253.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":253,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0253.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":253,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0253.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":253,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0253.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":253,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0253.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":253,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0254.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":254,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0254.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":254,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0254.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":254,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0254.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":254,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0254.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":254,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0255.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":255,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0255.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":255,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0255.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":255,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0255.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":255,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0255.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":255,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0256.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":256,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0256.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":256,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0256.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":256,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0256.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":256,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0256.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":256,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0257.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":257,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0257.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":257,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0257.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":257,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0257.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":257,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0257.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":257,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0258.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":258,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0258.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":258,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0258.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":258,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0258.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":258,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0258.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":258,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0259.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":259,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0259.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":259,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0259.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":259,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0259.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":259,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0259.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":259,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0260.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":9,\"seed\":260,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0260.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":9,\"seed\":260,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0260.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":9,\"seed\":260,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0260.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":9,\"seed\":260,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0260.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":9,\"seed\":260,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0261.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":261,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0261.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":261,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0261.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":261,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0261.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":261,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0261.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":261,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0262.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":262,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0262.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":262,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0262.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":262,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0262.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":262,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0262.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":262,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0263.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":263,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0263.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":263,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0263.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":263,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0263.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":263,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0263.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":263,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0264.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":264,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0264.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":264,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0264.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":264,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0264.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":264,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0264.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":264,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0265.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":265,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0265.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":265,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0265.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":265,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0265.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":265,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0265.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":265,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0266.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":266,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0266.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":266,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0266.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":266,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0266.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":266,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0266.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":266,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0267.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":267,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0267.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":267,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0267.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":267,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0267.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":267,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0267.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":267,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0268.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":268,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0268.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":268,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0268.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":268,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0268.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":268,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0268.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":268,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0269.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":48,\"num_hole_tiles\":14,\"seed\":269,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0269.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":48,\"num_hole_tiles\":14,\"seed\":269,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0269.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":48,\"num_hole_tiles\":14,\"seed\":269,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0269.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (48)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":48,\"num_hole_tiles\":14,\"seed\":269,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0269.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":48,\"num_hole_tiles\":14,\"seed\":269,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0270.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":270,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0270.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":270,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0270.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":270,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0270.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":270,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0270.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":270,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0271.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":271,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0271.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":271,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0271.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":271,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0271.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":271,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0271.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":271,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0272.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":272,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0272.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":272,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0272.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":272,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0272.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":272,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0272.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":272,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0273.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":18,\"seed\":273,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0273.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":18,\"seed\":273,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0273.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":18,\"seed\":273,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0273.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":18,\"seed\":273,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0273.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":18,\"seed\":273,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0274.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":274,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0274.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":274,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0274.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":274,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0274.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":274,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0274.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":274,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0275.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":275,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0275.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":275,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0275.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":275,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0275.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":275,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0275.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":275,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0276.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":276,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0276.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":276,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0276.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":276,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0276.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":276,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0276.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":276,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0277.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":277,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0277.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":277,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0277.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":277,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0277.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":277,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0277.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":277,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0278.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":278,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0278.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":278,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0278.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":278,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0278.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":278,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0278.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":278,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0279.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":279,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0279.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":279,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0279.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":279,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0279.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":279,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0279.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":279,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0280.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":280,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0280.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":280,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0280.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":280,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0280.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":280,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0280.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":280,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0281.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":281,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0281.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":281,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0281.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":281,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0281.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":281,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0281.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":281,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0282.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":22,\"seed\":282,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0282.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":22,\"seed\":282,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0282.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":22,\"seed\":282,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0282.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":22,\"seed\":282,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0282.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":22,\"seed\":282,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0283.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":283,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0283.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":283,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0283.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":283,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0283.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":283,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0283.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":283,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0284.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":284,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0284.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":284,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0284.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":284,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0284.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":284,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0284.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":284,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0285.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":285,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0285.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":285,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0285.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":285,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0285.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":285,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0285.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":285,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0286.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":286,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0286.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":286,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0286.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":286,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0286.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":286,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0286.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":286,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0287.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":287,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0287.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":287,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0287.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":287,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0287.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":287,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0287.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":287,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0288.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":288,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0288.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":288,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0288.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":288,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0288.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":288,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0288.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":288,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0289.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":289,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0289.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":289,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0289.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":289,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0289.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":289,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0289.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":289,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0290.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":290,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0290.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":290,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0290.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":290,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0290.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":290,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0290.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":290,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0291.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":291,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0291.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":291,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0291.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":291,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0291.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":291,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0291.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":291,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0292.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":292,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0292.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":292,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0292.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":292,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0292.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":292,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0292.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":292,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0293.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":293,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0293.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":293,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0293.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":293,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0293.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":293,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0293.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":293,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0294.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":294,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0294.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":294,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0294.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":294,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0294.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":294,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0294.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":294,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0295.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":8,\"seed\":295,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0295.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":8,\"seed\":295,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0295.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":8,\"seed\":295,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0295.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":8,\"seed\":295,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0295.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":8,\"seed\":295,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0296.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":296,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0296.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":296,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0296.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":296,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0296.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":296,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0296.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":296,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0297.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":297,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0297.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":297,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0297.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":297,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0297.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":297,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0297.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":297,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0298.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":298,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0298.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":298,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0298.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":298,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0298.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":298,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0298.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":298,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0299.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":299,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0299.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":299,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0299.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":299,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0299.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":299,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0299.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 14 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":299,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0300.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":300,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0300.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":300,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0300.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":300,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0300.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":300,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0300.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":300,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0301.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":301,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0301.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":301,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0301.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":301,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0301.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":301,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0301.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":301,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0302.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":302,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0302.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":302,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0302.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":302,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0302.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":302,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0302.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":302,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0303.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":303,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0303.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":303,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0303.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":303,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0303.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":303,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0303.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":303,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0304.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":304,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0304.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":304,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0304.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":304,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0304.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":304,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0304.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":304,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0305.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":305,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0305.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":305,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0305.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":305,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0305.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":305,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0305.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":305,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0306.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":306,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0306.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":306,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0306.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":306,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0306.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":306,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0306.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":306,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0307.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":307,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0307.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":307,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0307.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":307,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0307.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":307,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0307.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":307,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0308.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":308,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0308.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":308,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0308.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":308,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0308.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":308,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0308.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":308,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0309.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":309,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0309.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":309,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0309.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":309,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0309.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":309,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0309.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":309,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0310.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":310,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0310.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":310,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0310.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":310,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0310.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":310,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0310.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":310,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0311.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":311,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0311.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":311,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0311.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":311,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0311.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":311,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0311.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":311,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0312.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":312,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0312.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":312,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0312.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":312,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0312.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":312,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0312.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":312,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0313.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":313,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0313.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":313,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0313.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":313,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0313.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":313,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0313.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":313,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0314.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":314,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0314.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":314,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0314.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":314,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0314.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":314,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0314.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":314,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0315.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":315,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0315.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":315,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0315.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":315,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0315.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":315,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0315.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":315,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0316.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":316,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0316.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":316,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0316.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":316,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0316.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":316,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0316.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":316,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0317.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":317,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0317.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":317,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0317.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":317,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0317.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":317,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0317.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":317,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0318.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":318,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0318.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":318,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0318.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":318,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0318.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":318,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0318.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":318,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0319.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":319,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0319.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":319,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0319.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":319,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0319.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":319,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0319.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":319,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0320.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":320,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0320.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":320,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0320.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":320,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0320.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":320,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0320.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":320,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0321.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":321,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0321.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":321,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0321.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":321,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0321.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":321,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0321.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":321,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0322.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":322,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0322.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":322,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0322.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":322,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0322.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":322,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0322.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":322,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0323.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":323,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0323.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":323,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0323.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":323,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0323.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":323,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0323.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":323,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0324.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":324,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0324.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":324,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0324.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":324,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0324.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":324,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0324.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":324,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0325.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":325,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0325.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":325,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0325.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":325,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0325.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":325,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0325.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":325,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0326.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":326,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0326.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":326,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0326.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":326,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0326.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":326,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0326.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":326,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0327.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":327,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0327.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":327,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0327.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":327,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0327.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":327,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0327.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":327,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0328.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":328,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0328.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":328,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0328.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":328,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0328.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":328,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0328.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":328,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0329.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":329,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0329.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":329,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0329.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":329,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0329.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":329,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0329.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":329,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0330.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":330,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0330.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":330,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0330.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":330,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0330.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":330,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0330.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":330,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0331.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":331,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0331.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":331,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0331.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":331,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0331.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":331,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0331.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":331,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0332.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":332,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0332.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":332,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0332.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":332,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0332.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":332,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0332.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":332,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0333.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":333,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0333.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":333,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0333.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":333,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0333.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":333,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0333.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":333,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0334.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":334,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0334.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":334,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0334.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":334,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0334.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":334,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0334.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":334,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0335.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":335,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0335.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":335,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0335.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":335,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0335.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":335,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0335.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":335,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0336.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":336,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0336.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":336,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0336.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":336,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0336.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":336,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0336.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":336,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0337.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":337,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0337.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":337,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0337.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":337,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0337.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":337,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0337.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":337,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0338.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":338,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0338.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":338,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0338.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":338,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0338.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":338,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0338.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":338,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0339.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":339,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0339.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":339,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0339.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":339,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0339.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":339,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0339.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":339,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0340.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":340,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0340.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":340,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0340.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":340,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0340.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":340,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0340.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":340,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0341.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":341,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0341.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":341,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0341.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":341,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0341.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":341,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0341.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":341,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0342.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":342,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0342.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":342,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0342.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":342,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0342.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":342,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0342.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":342,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0343.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":343,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0343.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":343,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0343.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":343,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0343.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":343,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0343.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":343,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0344.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":344,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0344.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":344,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0344.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":344,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0344.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":344,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0344.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":344,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0345.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":345,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0345.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":345,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0345.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":345,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0345.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":345,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0345.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":345,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0346.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":346,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0346.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":346,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0346.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":346,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0346.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":346,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0346.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":346,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0347.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":347,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0347.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":347,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0347.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":347,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0347.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":347,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0347.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":347,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0348.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":348,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0348.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":348,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0348.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":348,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0348.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":348,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0348.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":348,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0349.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":349,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0349.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":349,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0349.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":349,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0349.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":349,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0349.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":349,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0350.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":350,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0350.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":350,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0350.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":350,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0350.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":350,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0350.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":350,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0351.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":13,\"seed\":351,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0351.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":13,\"seed\":351,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0351.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":13,\"seed\":351,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0351.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (31)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":13,\"seed\":351,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0351.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":13,\"seed\":351,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0352.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":352,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0352.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":352,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0352.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":352,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0352.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":352,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0352.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":352,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0353.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":353,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0353.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":353,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0353.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":353,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0353.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":353,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0353.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":353,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0354.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":354,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0354.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":354,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0354.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":354,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0354.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":354,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0354.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":12,\"seed\":354,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0355.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":355,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0355.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":355,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0355.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":355,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0355.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":355,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0355.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":355,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0356.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":356,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0356.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":356,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0356.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":356,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0356.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":356,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0356.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 13 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":356,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0357.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":357,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0357.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":357,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0357.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":357,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0357.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":357,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0357.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":357,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0358.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":358,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0358.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":358,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0358.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":358,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0358.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":358,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0358.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":358,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0359.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":359,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0359.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":359,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0359.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":359,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0359.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":359,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0359.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":359,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0360.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":360,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0360.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":360,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0360.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":360,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0360.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (33)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":360,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0360.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":360,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0361.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":7,\"seed\":361,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0361.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":7,\"seed\":361,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0361.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":7,\"seed\":361,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0361.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":7,\"seed\":361,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0361.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":7,\"seed\":361,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0362.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":362,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0362.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":362,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0362.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":362,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0362.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":362,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0362.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":362,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0363.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":363,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0363.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":363,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0363.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":363,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0363.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":363,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0363.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":363,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0364.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":364,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0364.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":364,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0364.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":364,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0364.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":364,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0364.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":364,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0365.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":365,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0365.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":365,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0365.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":365,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0365.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":365,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0365.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":365,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0366.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":366,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0366.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":366,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0366.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":366,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0366.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":366,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0366.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":366,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0367.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":367,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0367.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":367,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0367.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":367,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0367.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":367,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0367.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":367,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0368.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":368,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0368.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":368,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0368.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":368,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0368.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":368,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0368.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":368,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0369.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":369,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0369.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":369,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0369.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":369,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0369.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":369,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0369.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":369,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0370.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":370,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0370.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":370,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0370.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":370,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0370.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":370,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0370.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":370,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0371.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":371,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0371.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":371,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0371.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":371,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0371.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":371,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0371.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":371,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0372.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":13,\"seed\":372,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0372.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":13,\"seed\":372,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0372.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":13,\"seed\":372,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0372.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (32)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":13,\"seed\":372,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0372.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":13,\"seed\":372,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0373.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":373,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0373.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":373,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0373.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":373,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0373.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":373,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0373.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":373,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0374.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":374,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0374.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":374,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0374.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":374,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0374.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":374,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0374.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":374,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0375.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":375,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0375.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":375,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0375.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":375,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0375.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":375,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0375.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":375,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0376.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":376,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0376.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":376,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0376.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":376,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0376.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":376,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0376.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":376,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0377.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":377,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0377.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":377,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0377.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":377,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0377.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":377,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0377.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":377,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0378.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":378,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0378.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":378,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0378.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":378,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0378.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":378,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0378.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":378,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0379.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":379,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0379.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":379,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0379.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":379,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0379.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":379,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0379.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":379,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0380.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":380,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0380.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":380,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0380.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":380,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0380.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":380,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0380.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":380,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0381.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":381,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0381.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":381,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0381.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":381,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0381.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":381,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0381.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":381,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0382.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":382,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0382.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":382,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0382.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":382,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0382.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":382,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0382.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":382,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0383.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":383,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0383.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":383,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0383.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":383,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0383.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":383,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0383.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":383,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0384.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":384,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0384.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":384,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0384.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":384,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0384.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":384,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0384.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":384,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0385.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":385,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0385.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":385,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0385.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":385,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0385.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":385,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0385.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":385,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0386.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":386,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0386.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":386,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0386.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":386,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0386.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":386,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0386.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":386,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0387.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":387,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0387.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":387,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0387.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":387,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0387.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":387,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0387.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":387,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0388.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":388,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0388.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":388,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0388.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":388,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0388.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":388,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0388.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":388,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0389.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":389,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0389.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":389,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0389.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":389,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0389.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":389,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0389.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":389,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0390.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":390,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0390.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":390,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0390.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":390,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0390.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":390,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0390.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":390,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0391.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":391,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0391.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":391,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0391.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":391,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0391.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":391,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0391.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":391,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0392.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":392,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0392.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":392,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0392.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":392,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0392.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":392,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0392.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":392,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0393.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":20,\"seed\":393,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0393.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":20,\"seed\":393,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0393.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":20,\"seed\":393,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0393.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":20,\"seed\":393,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0393.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":20,\"seed\":393,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0394.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":394,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0394.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":394,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0394.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":394,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0394.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":394,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0394.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":394,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0395.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":395,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0395.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":395,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0395.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":395,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0395.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":395,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0395.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":395,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0396.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":396,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0396.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":396,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0396.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":396,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0396.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":396,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0396.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":396,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0397.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":397,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0397.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":397,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0397.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":397,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0397.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":397,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0397.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":397,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0398.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":398,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0398.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":398,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0398.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":398,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0398.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":398,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0398.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":398,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0399.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":399,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0399.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":399,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0399.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":399,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0399.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":399,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0399.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":399,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0400.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":400,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0400.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":400,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0400.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":400,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0400.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":400,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0400.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":400,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0401.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":401,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0401.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":401,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0401.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":401,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0401.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":401,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0401.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":401,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0402.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":402,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0402.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":402,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0402.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":402,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0402.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":402,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0402.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":402,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0403.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":403,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0403.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":403,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0403.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":403,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0403.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":403,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0403.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":403,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0404.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":404,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0404.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":404,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0404.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":404,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0404.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":404,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0404.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":404,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0405.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":405,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0405.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":405,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0405.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":405,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0405.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":405,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0405.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":405,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0406.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":406,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0406.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":406,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0406.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":406,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0406.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":406,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0406.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":406,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0407.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":407,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0407.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":407,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0407.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":407,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0407.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":407,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0407.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":407,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0408.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":408,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0408.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":408,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0408.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":408,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0408.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":408,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0408.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":408,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0409.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":409,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0409.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":409,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0409.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":409,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0409.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":409,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0409.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":409,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0410.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":8,\"seed\":410,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0410.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":8,\"seed\":410,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0410.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":8,\"seed\":410,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0410.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":8,\"seed\":410,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0410.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":8,\"seed\":410,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0411.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":411,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0411.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":411,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0411.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":411,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0411.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":411,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0411.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":411,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0412.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":412,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0412.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":412,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0412.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":412,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0412.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":412,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0412.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":412,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0413.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":413,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0413.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":413,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0413.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":413,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0413.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":413,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0413.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":413,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0414.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":414,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0414.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":414,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0414.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":414,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0414.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":414,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0414.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":16,\"seed\":414,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0415.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":415,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0415.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":415,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0415.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":415,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0415.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":415,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0415.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":415,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0416.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":416,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0416.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":416,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0416.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":416,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0416.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":416,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0416.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":416,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0417.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":417,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0417.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":417,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0417.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":417,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0417.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":417,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0417.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":417,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0418.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":418,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0418.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":418,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0418.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":418,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0418.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":418,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0418.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":418,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0419.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":419,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0419.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":419,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0419.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":419,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0419.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":419,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0419.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":419,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0420.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":58,\"num_hole_tiles\":16,\"seed\":420,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0420.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":58,\"num_hole_tiles\":16,\"seed\":420,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0420.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":58,\"num_hole_tiles\":16,\"seed\":420,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0420.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (58)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":58,\"num_hole_tiles\":16,\"seed\":420,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0420.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":58,\"num_hole_tiles\":16,\"seed\":420,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0421.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":421,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0421.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":421,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0421.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":421,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0421.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":421,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0421.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":421,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0422.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":422,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0422.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":422,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0422.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":422,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0422.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":422,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0422.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":422,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0423.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":423,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0423.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":423,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0423.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":423,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0423.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (25)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":423,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0423.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":423,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0424.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":424,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0424.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":424,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0424.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":424,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0424.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":424,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0424.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":424,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0425.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":425,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0425.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":425,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0425.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":425,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0425.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":425,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0425.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":425,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0426.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":14,\"seed\":426,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0426.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":14,\"seed\":426,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0426.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":14,\"seed\":426,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0426.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":14,\"seed\":426,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0426.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":14,\"seed\":426,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0427.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":427,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0427.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":427,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0427.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":427,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0427.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":427,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0427.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":427,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0428.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":428,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0428.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":428,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0428.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":428,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0428.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":428,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0428.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":428,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0429.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":429,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0429.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":429,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0429.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":429,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0429.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":429,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0429.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":429,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0430.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":430,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0430.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":430,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0430.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":430,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0430.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":430,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0430.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":430,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0431.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":431,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0431.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":431,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0431.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":431,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0431.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":431,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0431.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":431,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0432.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":432,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0432.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":432,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0432.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":432,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0432.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":432,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0432.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":432,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0433.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":433,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0433.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":433,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0433.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":433,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0433.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":433,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0433.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":433,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0434.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":434,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0434.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":434,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0434.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":434,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0434.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":434,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0434.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":434,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0435.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":17,\"seed\":435,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0435.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":17,\"seed\":435,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0435.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":17,\"seed\":435,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0435.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (31)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":17,\"seed\":435,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0435.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":17,\"seed\":435,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0436.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":436,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0436.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":436,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0436.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":436,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0436.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":436,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0436.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":436,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0437.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":437,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0437.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":437,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0437.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":437,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0437.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":437,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0437.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":437,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0438.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":438,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0438.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":438,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0438.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":438,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0438.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":438,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0438.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":438,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0439.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":439,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0439.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":439,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0439.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":439,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0439.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":439,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0439.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":439,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0440.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":440,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0440.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":440,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0440.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":440,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0440.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":440,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0440.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":440,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0441.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":441,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0441.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":441,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0441.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":441,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0441.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":441,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0441.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":441,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0442.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":442,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0442.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":442,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0442.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":442,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0442.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":442,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0442.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":442,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0443.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":443,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0443.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":443,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0443.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":443,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0443.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":443,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0443.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":443,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0444.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":20,\"seed\":444,\"shortest_path_length\":16}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0444.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":20,\"seed\":444,\"shortest_path_length\":16}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0444.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":20,\"seed\":444,\"shortest_path_length\":16}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0444.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (50)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":20,\"seed\":444,\"shortest_path_length\":16}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0444.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":20,\"seed\":444,\"shortest_path_length\":16}"}
{"task":"Image Description","image":"hex_pathfinding_0445.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":445,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0445.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":445,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0445.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":445,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0445.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":445,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0445.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":445,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0446.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":446,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0446.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":446,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0446.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":446,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0446.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":446,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0446.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":446,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0447.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":447,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0447.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":447,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0447.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":447,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0447.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":447,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0447.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":447,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0448.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":448,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0448.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":448,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0448.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":448,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0448.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":448,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0448.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":448,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0449.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":449,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0449.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":449,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0449.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":449,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0449.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":449,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0449.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":449,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0450.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":450,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0450.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":450,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0450.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":450,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0450.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":450,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0450.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":450,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0451.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":451,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0451.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":451,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0451.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":451,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0451.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":451,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0451.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":451,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0452.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":452,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0452.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":452,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0452.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":452,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0452.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":452,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0452.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":452,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0453.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":453,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0453.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":453,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0453.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":453,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0453.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":453,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0453.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":453,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0454.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":454,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0454.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":454,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0454.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":454,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0454.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":454,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0454.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":454,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0455.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":455,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0455.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":455,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0455.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":455,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0455.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":455,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0455.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":455,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0456.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":456,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0456.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":456,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0456.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":456,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0456.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":456,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0456.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":456,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0457.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":457,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0457.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":457,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0457.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":457,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0457.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":457,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0457.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":457,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0458.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":458,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0458.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":458,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0458.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":458,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0458.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":458,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0458.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":458,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0459.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":459,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0459.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":459,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0459.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":459,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0459.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":459,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0459.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":459,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0460.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":460,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0460.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":460,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0460.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":460,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0460.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":460,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0460.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":460,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0461.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":461,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0461.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":461,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0461.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":461,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0461.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":461,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0461.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":461,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0462.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":462,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0462.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":462,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0462.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":462,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0462.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":462,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0462.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":462,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0463.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":463,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0463.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":463,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0463.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":463,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0463.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":463,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0463.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":463,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0464.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":464,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0464.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":464,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0464.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":464,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0464.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":464,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0464.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":464,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0465.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":465,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0465.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":465,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0465.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":465,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0465.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":465,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0465.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":465,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0466.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":466,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0466.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":466,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0466.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":466,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0466.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":466,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0466.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":466,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0467.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":467,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0467.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":467,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0467.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":467,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0467.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":467,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0467.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":467,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0468.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":19,\"seed\":468,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0468.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":19,\"seed\":468,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0468.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":19,\"seed\":468,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0468.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":19,\"seed\":468,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0468.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":19,\"seed\":468,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0469.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":469,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0469.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":469,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0469.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":469,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0469.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":469,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0469.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":469,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0470.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":470,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0470.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":470,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0470.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":470,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0470.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":470,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0470.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":470,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0471.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":471,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0471.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":471,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0471.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":471,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0471.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":471,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0471.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":471,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0472.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":472,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0472.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":472,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0472.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":472,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0472.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":472,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0472.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":472,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0473.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":473,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0473.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":473,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0473.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":473,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0473.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":473,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0473.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":473,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0474.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":474,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0474.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":474,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0474.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":474,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0474.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":474,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0474.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":474,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0475.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":475,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0475.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":475,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0475.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":475,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0475.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":475,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0475.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":475,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0476.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":476,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0476.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":476,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0476.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":476,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0476.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":476,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0476.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":476,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0477.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":477,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0477.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":477,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0477.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":477,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0477.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":477,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0477.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":477,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0478.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":478,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0478.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":478,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0478.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":478,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0478.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":478,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0478.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":478,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0479.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":479,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0479.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":479,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0479.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":479,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0479.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":479,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0479.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":479,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0480.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":480,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0480.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":480,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0480.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":480,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0480.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":480,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0480.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":480,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0481.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":481,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0481.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":481,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0481.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":481,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0481.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":481,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0481.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":481,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0482.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":482,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0482.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":482,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0482.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":482,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0482.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":482,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0482.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":482,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0483.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":483,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0483.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":483,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0483.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":483,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0483.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":483,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0483.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":483,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0484.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":484,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0484.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":484,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0484.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":484,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0484.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":484,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0484.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":484,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0485.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":485,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0485.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":485,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0485.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":485,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0485.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":485,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0485.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":485,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0486.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":486,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0486.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":486,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0486.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":486,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0486.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":486,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0486.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":486,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0487.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":487,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0487.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":487,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0487.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":487,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0487.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":487,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0487.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":487,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0488.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":488,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0488.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":488,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0488.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":488,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0488.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":488,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0488.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":488,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0489.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":489,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0489.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":489,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0489.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":489,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0489.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":489,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0489.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":489,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0490.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":490,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0490.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":490,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0490.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":490,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0490.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":490,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0490.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":490,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0491.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":491,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0491.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":491,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0491.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":491,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0491.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":491,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0491.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":491,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0492.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":492,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0492.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":492,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0492.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":492,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0492.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":492,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0492.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":492,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0493.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":493,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0493.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":493,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0493.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":493,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0493.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":493,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0493.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":493,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0494.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":494,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0494.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":494,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0494.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":494,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0494.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":494,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0494.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":494,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0495.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":495,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0495.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":495,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0495.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":495,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0495.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":495,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0495.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":495,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0496.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":496,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0496.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":496,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0496.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":496,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0496.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":496,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0496.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":496,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0497.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":497,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0497.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":497,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0497.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":497,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0497.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":497,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0497.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":497,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0498.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":498,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0498.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":498,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0498.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":498,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0498.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":498,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0498.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":498,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0499.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":499,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0499.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":499,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0499.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":499,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0499.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":499,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0499.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":499,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0500.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":500,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0500.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":500,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0500.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":500,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0500.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":500,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0500.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":500,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0501.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":501,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0501.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":501,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0501.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":501,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0501.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":501,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0501.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":501,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0502.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":502,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0502.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":502,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0502.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":502,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0502.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":502,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0502.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":502,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0503.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":503,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0503.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":503,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0503.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":503,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0503.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":503,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0503.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":503,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0504.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":504,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0504.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":504,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0504.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":504,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0504.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":504,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0504.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":504,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0505.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":505,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0505.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":505,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0505.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":505,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0505.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":505,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0505.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":505,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0506.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":506,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0506.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":506,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0506.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":506,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0506.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":506,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0506.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":506,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0507.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":507,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0507.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":507,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0507.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":507,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0507.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":507,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0507.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":507,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0508.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":508,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0508.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":508,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0508.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":508,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0508.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":508,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0508.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":508,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0509.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":509,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0509.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":509,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0509.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":509,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0509.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":509,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0509.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":509,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0510.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":510,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0510.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":510,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0510.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":510,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0510.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":510,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0510.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":510,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0511.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":511,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0511.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":511,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0511.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":511,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0511.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":511,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0511.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":511,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0512.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":512,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0512.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":512,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0512.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":512,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0512.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":512,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0512.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":512,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0513.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":513,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0513.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":513,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0513.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":513,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0513.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":513,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0513.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":513,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0514.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":514,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0514.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":514,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0514.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":514,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0514.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":514,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0514.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":514,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0515.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":515,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0515.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":515,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0515.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":515,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0515.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":515,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0515.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":515,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0516.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":516,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0516.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":516,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0516.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":516,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0516.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":516,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0516.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":516,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0517.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":517,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0517.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":517,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0517.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":517,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0517.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":517,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0517.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":517,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0518.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":518,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0518.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":518,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0518.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":518,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0518.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":518,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0518.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":518,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0519.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":519,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0519.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":519,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0519.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":519,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0519.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":519,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0519.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":519,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0520.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":520,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0520.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":520,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0520.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":520,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0520.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":520,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0520.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":520,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0521.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":521,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0521.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":521,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0521.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":521,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0521.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":521,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0521.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":521,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0522.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":522,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0522.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":522,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0522.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":522,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0522.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":522,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0522.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":522,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0523.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":523,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0523.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":523,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0523.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":523,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0523.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":523,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0523.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":523,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0524.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":524,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0524.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":524,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0524.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":524,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0524.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":524,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0524.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":524,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0525.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":525,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0525.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":525,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0525.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":525,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0525.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":525,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0525.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":525,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0526.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":526,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0526.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":526,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0526.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":526,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0526.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":526,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0526.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":526,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0527.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":30,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":527,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0527.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":30,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":527,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0527.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":30,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":527,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0527.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":30,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":527,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0527.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":30,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":527,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0528.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":21,\"seed\":528,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0528.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":21,\"seed\":528,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0528.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":21,\"seed\":528,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0528.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":21,\"seed\":528,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0528.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":21,\"seed\":528,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0529.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":529,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0529.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":529,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0529.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":529,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0529.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":529,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0529.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":529,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0530.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":530,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0530.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":530,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0530.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":530,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0530.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":530,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0530.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":530,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0531.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":531,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0531.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":531,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0531.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":531,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0531.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":531,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0531.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":531,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0532.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":532,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0532.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":532,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0532.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":532,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0532.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":532,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0532.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":532,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0533.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":533,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0533.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":533,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0533.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":533,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0533.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":533,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0533.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":533,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0534.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":534,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0534.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":534,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0534.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":534,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0534.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":534,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0534.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":534,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0535.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":535,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0535.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":535,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0535.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":535,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0535.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":535,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0535.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":535,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0536.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":536,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0536.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":536,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0536.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":536,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0536.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":536,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0536.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":536,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0537.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":17,\"seed\":537,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0537.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":17,\"seed\":537,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0537.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":17,\"seed\":537,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0537.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (34)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":17,\"seed\":537,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0537.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":17,\"seed\":537,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0538.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":538,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0538.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":538,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0538.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":538,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0538.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":538,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0538.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":538,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0539.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":539,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0539.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":539,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0539.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":539,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0539.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":539,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0539.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":539,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0540.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":540,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0540.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":540,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0540.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":540,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0540.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":540,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0540.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":540,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0541.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":541,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0541.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":541,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0541.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":541,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0541.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":541,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0541.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":541,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0542.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":542,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0542.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":542,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0542.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":542,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0542.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":542,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0542.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":542,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0543.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":543,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0543.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":543,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0543.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":543,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0543.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":543,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0543.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":543,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0544.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":544,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0544.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":544,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0544.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":544,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0544.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":544,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0544.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":544,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0545.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":545,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0545.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":545,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0545.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":545,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0545.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":545,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0545.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":545,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0546.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":546,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0546.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":546,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0546.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":546,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0546.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":546,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0546.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":546,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0547.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":547,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0547.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":547,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0547.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":547,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0547.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":547,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0547.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":547,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0548.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":548,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0548.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":548,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0548.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":548,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0548.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":548,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0548.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":548,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0549.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":549,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0549.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":549,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0549.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":549,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0549.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":549,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0549.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":549,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0550.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":550,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0550.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":550,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0550.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":550,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0550.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":550,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0550.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":550,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0551.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":551,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0551.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":551,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0551.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":551,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0551.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":551,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0551.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":551,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0552.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":552,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0552.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":552,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0552.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":552,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0552.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":552,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0552.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":552,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0553.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":553,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0553.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":553,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0553.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":553,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0553.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":553,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0553.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":553,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0554.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":554,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0554.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":554,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0554.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":554,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0554.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":554,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0554.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":554,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0555.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":555,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0555.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":555,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0555.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":555,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0555.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":555,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0555.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":555,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0556.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":556,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0556.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":556,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0556.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":556,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0556.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":556,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0556.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":556,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0557.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":557,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0557.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":557,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0557.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":557,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0557.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":557,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0557.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":557,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0558.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":558,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0558.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":558,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0558.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":558,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0558.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":558,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0558.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":558,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0559.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":559,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0559.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":559,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0559.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":559,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0559.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":559,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0559.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":559,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0560.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":560,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0560.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":560,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0560.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":560,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0560.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":560,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0560.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":560,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0561.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":561,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0561.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":561,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0561.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":561,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0561.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":561,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0561.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":561,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0562.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":562,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0562.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":562,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0562.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":562,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0562.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":562,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0562.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":562,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0563.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":563,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0563.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":563,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0563.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":563,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0563.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":563,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0563.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":563,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0564.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":564,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0564.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":564,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0564.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":564,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0564.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":564,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0564.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":564,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0565.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":565,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0565.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":565,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0565.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":565,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0565.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":565,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0565.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":565,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0566.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":566,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0566.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":566,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0566.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":566,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0566.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":566,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0566.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":566,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0567.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":567,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0567.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":567,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0567.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":567,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0567.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":567,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0567.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":567,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0568.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":568,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0568.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":568,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0568.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":568,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0568.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":568,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0568.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":568,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0569.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":569,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0569.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":569,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0569.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":569,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0569.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":569,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0569.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":569,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0570.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":570,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0570.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":570,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0570.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":570,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0570.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":570,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0570.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":570,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0571.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":571,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0571.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":571,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0571.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":571,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0571.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":571,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0571.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":571,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0572.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":572,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0572.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":572,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0572.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":572,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0572.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":572,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0572.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":572,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0573.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":573,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0573.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":573,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0573.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":573,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0573.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":573,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0573.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":573,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0574.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":574,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0574.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":574,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0574.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":574,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0574.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":574,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0574.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":574,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0575.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":575,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0575.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":575,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0575.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":575,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0575.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":575,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0575.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":575,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0576.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":576,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0576.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":576,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0576.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":576,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0576.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":576,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0576.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":576,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0577.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":577,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0577.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":577,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0577.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":577,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0577.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":577,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0577.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":577,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0578.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":578,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0578.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":578,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0578.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":578,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0578.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":578,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0578.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":578,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0579.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":579,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0579.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":579,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0579.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":579,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0579.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":579,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0579.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":579,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0580.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":580,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0580.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":580,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0580.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":580,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0580.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":580,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0580.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":580,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0581.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":581,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0581.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":581,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0581.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":581,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0581.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":581,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0581.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":581,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0582.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":17,\"seed\":582,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0582.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":17,\"seed\":582,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0582.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":17,\"seed\":582,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0582.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":17,\"seed\":582,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0582.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":17,\"seed\":582,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0583.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":583,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0583.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":583,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0583.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":583,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0583.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":583,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0583.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":583,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0584.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":584,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0584.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":584,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0584.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":584,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0584.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":584,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0584.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":584,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0585.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":585,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0585.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":585,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0585.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":585,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0585.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":585,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0585.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":585,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0586.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":586,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0586.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":586,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0586.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":586,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0586.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":586,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0586.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":586,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0587.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":587,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0587.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":587,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0587.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":587,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0587.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":587,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0587.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":587,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0588.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":588,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0588.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":588,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0588.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":588,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0588.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":588,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0588.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":588,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0589.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":589,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0589.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":589,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0589.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":589,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0589.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":589,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0589.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":589,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0590.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":590,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0590.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":590,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0590.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":590,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0590.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":590,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0590.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":590,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0591.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":591,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0591.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":591,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0591.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":591,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0591.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":591,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0591.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":591,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0592.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":592,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0592.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":592,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0592.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":592,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0592.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":592,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0592.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":592,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0593.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":593,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0593.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":593,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0593.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":593,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0593.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":593,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0593.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":593,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0594.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":594,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0594.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":594,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0594.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":594,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0594.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":594,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0594.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":594,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0595.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":595,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0595.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":595,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0595.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":595,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0595.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":595,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0595.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":595,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0596.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":596,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0596.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":596,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0596.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":596,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0596.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":596,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0596.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":596,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0597.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":597,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0597.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":597,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0597.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":597,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0597.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":597,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0597.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":597,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0598.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":598,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0598.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":598,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0598.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":598,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0598.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":598,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0598.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":598,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0599.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":599,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0599.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":599,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0599.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":599,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0599.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":599,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0599.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":599,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0600.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":600,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0600.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":600,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0600.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":600,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0600.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":600,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0600.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":600,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0601.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":601,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0601.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":601,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0601.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":601,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0601.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":601,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0601.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":601,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0602.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":602,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0602.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":602,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0602.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":602,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0602.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":602,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0602.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":602,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0603.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":603,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0603.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":603,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0603.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":603,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0603.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":603,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0603.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":603,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0604.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":604,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0604.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":604,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0604.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":604,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0604.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":604,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0604.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":604,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0605.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":605,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0605.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":605,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0605.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":605,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0605.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":605,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0605.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":605,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0606.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":606,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0606.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":606,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0606.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":606,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0606.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":606,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0606.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":606,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0607.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":607,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0607.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":607,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0607.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":607,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0607.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":607,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0607.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":607,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0608.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":608,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0608.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":608,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0608.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":608,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0608.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":608,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0608.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":608,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0609.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":609,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0609.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":609,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0609.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":609,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0609.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":609,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0609.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":609,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0610.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":610,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0610.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":610,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0610.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":610,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0610.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":610,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0610.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":610,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0611.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":611,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0611.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":611,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0611.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":611,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0611.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":611,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0611.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":611,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0612.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":612,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0612.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":612,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0612.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":612,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0612.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":612,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0612.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":612,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0613.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":613,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0613.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":613,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0613.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":613,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0613.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":613,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0613.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":613,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0614.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":614,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0614.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":614,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0614.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":614,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0614.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":614,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0614.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":614,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0615.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":615,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0615.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":615,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0615.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":615,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0615.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":615,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0615.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":615,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0616.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":616,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0616.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":616,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0616.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":616,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0616.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":616,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0616.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":616,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0617.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":617,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0617.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":617,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0617.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":617,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0617.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":617,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0617.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":617,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0618.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":618,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0618.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":618,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0618.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":618,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0618.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":618,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0618.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":618,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0619.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":619,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0619.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":619,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0619.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":619,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0619.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":619,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0619.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":619,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0620.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":620,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0620.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":620,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0620.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":620,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0620.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":620,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0620.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":620,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0621.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":621,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0621.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":621,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0621.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":621,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0621.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":621,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0621.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":621,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0622.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":622,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0622.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":622,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0622.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":622,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0622.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":622,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0622.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":622,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0623.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":623,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0623.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":623,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0623.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":623,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0623.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":623,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0623.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":623,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0624.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":624,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0624.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":624,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0624.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":624,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0624.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":624,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0624.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":624,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0625.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":625,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0625.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":625,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0625.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":625,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0625.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":625,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0625.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":625,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0626.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":626,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0626.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":626,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0626.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":626,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0626.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (26)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":626,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0626.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 13 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":626,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0627.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":627,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0627.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":627,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0627.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":627,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0627.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":627,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0627.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":627,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0628.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":628,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0628.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":628,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0628.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":628,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0628.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":628,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0628.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":628,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0629.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":629,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0629.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":629,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0629.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":629,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0629.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":629,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0629.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":629,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0630.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":65,\"num_hole_tiles\":14,\"seed\":630,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0630.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":65,\"num_hole_tiles\":14,\"seed\":630,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0630.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":65,\"num_hole_tiles\":14,\"seed\":630,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0630.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (65)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":65,\"num_hole_tiles\":14,\"seed\":630,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0630.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":65,\"num_hole_tiles\":14,\"seed\":630,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0631.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":631,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0631.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":631,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0631.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":631,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0631.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":631,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0631.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":631,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0632.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":632,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0632.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":632,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0632.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":632,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0632.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":632,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0632.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":632,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0633.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":633,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0633.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":633,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0633.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":633,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0633.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":633,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0633.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":633,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0634.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":634,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0634.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":634,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0634.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":634,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0634.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":634,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0634.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":634,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0635.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":635,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0635.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":635,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0635.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":635,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0635.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":635,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0635.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":635,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0636.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":636,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0636.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":636,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0636.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":636,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0636.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":636,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0636.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":636,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0637.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":637,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0637.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":637,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0637.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":637,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0637.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":637,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0637.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":637,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0638.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":638,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0638.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":638,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0638.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":638,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0638.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":638,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0638.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":638,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0639.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":639,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0639.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":639,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0639.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":639,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0639.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":639,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0639.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":639,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0640.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":640,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0640.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":640,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0640.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":640,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0640.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":640,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0640.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":640,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0641.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":641,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0641.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":641,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0641.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":641,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0641.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":641,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0641.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":641,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0642.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":642,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0642.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":642,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0642.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":642,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0642.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":642,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0642.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":642,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0643.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":643,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0643.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":643,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0643.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":643,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0643.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":643,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0643.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":643,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0644.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":9,\"seed\":644,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0644.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":9,\"seed\":644,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0644.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":9,\"seed\":644,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0644.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":9,\"seed\":644,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0644.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":9,\"seed\":644,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0645.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":645,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0645.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":645,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0645.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":645,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0645.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (33)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":645,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0645.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":645,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0646.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":646,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0646.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":646,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0646.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":646,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0646.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":646,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0646.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":646,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0647.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":647,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0647.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":647,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0647.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":647,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0647.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":647,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0647.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":647,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0648.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":648,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0648.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":648,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0648.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":648,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0648.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":648,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0648.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":648,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0649.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":649,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0649.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":649,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0649.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":649,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0649.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":649,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0649.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":649,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0650.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":650,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0650.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":650,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0650.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":650,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0650.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":650,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0650.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":650,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0651.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":651,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0651.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":651,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0651.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":651,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0651.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":651,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0651.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":12,\"seed\":651,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0652.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":652,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0652.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":652,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0652.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":652,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0652.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":652,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0652.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":652,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0653.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":653,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0653.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":653,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0653.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":653,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0653.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":653,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0653.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":653,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0654.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":654,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0654.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":654,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0654.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":654,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0654.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":654,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0654.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":654,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0655.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":655,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0655.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":655,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0655.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":655,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0655.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":655,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0655.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":655,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0656.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":656,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0656.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":656,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0656.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":656,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0656.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":656,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0656.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":656,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0657.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":13,\"seed\":657,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0657.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":13,\"seed\":657,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0657.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":13,\"seed\":657,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0657.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":13,\"seed\":657,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0657.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":13,\"seed\":657,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0658.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":658,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0658.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":658,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0658.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":658,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0658.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":658,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0658.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":658,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0659.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":659,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0659.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":659,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0659.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":659,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0659.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":659,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0659.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":659,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0660.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":660,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0660.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":660,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0660.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":660,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0660.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":660,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0660.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":660,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0661.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":661,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0661.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":661,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0661.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":661,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0661.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":661,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0661.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":661,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0662.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":662,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0662.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":662,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0662.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":662,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0662.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":662,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0662.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":662,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0663.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":663,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0663.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":663,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0663.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":663,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0663.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":663,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0663.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":663,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0664.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":664,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0664.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":664,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0664.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":664,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0664.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":664,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0664.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":664,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0665.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":665,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0665.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":665,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0665.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":665,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0665.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":665,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0665.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":665,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0666.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":666,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0666.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":666,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0666.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":666,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0666.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":666,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0666.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":666,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0667.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":667,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0667.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":667,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0667.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":667,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0667.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":667,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0667.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":667,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0668.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":668,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0668.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":668,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0668.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":668,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0668.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":668,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0668.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":668,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0669.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":669,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0669.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":669,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0669.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":669,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0669.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":669,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0669.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":669,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0670.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":670,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0670.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":670,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0670.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":670,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0670.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":670,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0670.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":670,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0671.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":671,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0671.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":671,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0671.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":671,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0671.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":671,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0671.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":671,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0672.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":672,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0672.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":672,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0672.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":672,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0672.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":672,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0672.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":672,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0673.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":673,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0673.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":673,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0673.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":673,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0673.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":673,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0673.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":673,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0674.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":674,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0674.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":674,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0674.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":674,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0674.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":674,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0674.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":674,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0675.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":675,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0675.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":675,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0675.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":675,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0675.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":675,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0675.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":675,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0676.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":676,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0676.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":676,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0676.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":676,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0676.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":676,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0676.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":676,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0677.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":677,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0677.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":677,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0677.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":677,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0677.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":677,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0677.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":677,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0678.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":678,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0678.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":678,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0678.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":678,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0678.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":678,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0678.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":678,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0679.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":679,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0679.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":679,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0679.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":679,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0679.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":679,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0679.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":679,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0680.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":680,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0680.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":680,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0680.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":680,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0680.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":680,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0680.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":680,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0681.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":681,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0681.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":681,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0681.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":681,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0681.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":681,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0681.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":681,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0682.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":682,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0682.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":682,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0682.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":682,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0682.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":682,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0682.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":682,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0683.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":683,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0683.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":683,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0683.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":683,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0683.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":683,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0683.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":683,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0684.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":684,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0684.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":684,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0684.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":684,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0684.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":684,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0684.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":684,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_0685.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":685,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0685.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":685,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0685.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":685,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0685.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":685,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0685.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":685,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0686.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":686,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0686.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":686,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0686.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":686,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0686.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":686,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0686.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":686,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0687.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":687,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0687.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":687,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0687.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":687,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0687.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":687,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0687.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":687,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0688.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":688,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0688.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":688,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0688.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":688,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0688.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":688,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0688.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":688,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0689.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":689,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0689.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":689,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0689.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":689,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0689.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":689,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0689.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":689,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0690.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":19,\"seed\":690,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0690.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":19,\"seed\":690,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0690.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":19,\"seed\":690,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0690.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":19,\"seed\":690,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0690.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":19,\"seed\":690,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0691.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":691,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0691.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":691,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0691.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":691,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0691.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":691,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0691.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":691,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0692.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":692,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0692.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":692,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0692.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":692,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0692.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":692,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0692.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":692,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0693.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":693,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0693.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":693,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0693.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":693,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0693.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":693,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0693.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":693,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0694.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":694,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0694.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":694,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0694.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":694,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0694.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":694,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0694.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":694,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0695.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":695,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0695.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":695,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0695.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":695,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0695.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":695,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0695.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":695,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0696.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":16,\"seed\":696,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0696.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":16,\"seed\":696,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0696.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":16,\"seed\":696,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0696.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":16,\"seed\":696,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0696.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":16,\"seed\":696,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0697.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":697,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0697.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":697,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0697.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":697,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0697.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":697,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0697.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":697,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0698.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":698,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0698.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":698,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0698.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":698,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0698.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":698,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0698.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":698,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0699.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":699,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0699.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":699,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0699.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":699,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0699.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":699,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0699.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":699,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0700.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":700,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0700.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":700,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0700.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":700,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0700.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":700,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0700.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":700,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0701.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":701,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0701.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":701,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0701.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":701,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0701.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":701,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0701.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":701,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0702.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":702,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0702.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":702,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0702.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":702,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0702.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":702,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0702.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":702,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0703.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":703,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0703.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":703,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0703.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":703,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0703.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":703,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0703.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":703,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0704.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":704,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0704.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":704,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0704.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":704,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0704.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":704,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0704.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":704,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0705.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":705,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0705.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":705,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0705.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":705,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0705.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":705,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0705.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":705,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0706.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":706,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0706.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":706,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0706.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":706,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0706.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":706,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0706.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":706,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0707.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":707,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0707.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":707,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0707.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":707,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0707.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":707,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0707.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":707,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0708.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":708,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0708.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":708,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0708.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":708,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0708.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":708,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0708.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":708,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0709.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":709,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0709.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":709,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0709.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":709,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0709.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":709,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0709.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":709,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0710.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":710,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0710.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":710,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0710.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":710,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0710.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":710,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0710.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":710,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0711.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":711,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0711.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":711,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0711.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":711,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0711.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":711,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0711.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":711,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0712.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":712,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0712.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":712,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0712.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":712,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0712.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":712,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0712.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":712,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0713.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":713,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0713.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":713,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0713.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":713,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0713.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":713,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0713.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":713,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0714.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":714,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0714.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":714,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0714.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":714,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0714.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":714,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0714.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":714,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0715.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":715,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0715.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":715,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0715.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":715,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0715.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":715,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0715.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":715,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0716.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":716,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0716.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":716,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0716.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":716,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0716.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":716,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0716.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":716,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0717.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":717,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0717.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":717,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0717.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":717,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0717.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":717,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0717.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":717,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0718.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":718,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0718.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":718,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0718.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":718,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0718.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":718,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0718.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":718,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0719.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":719,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0719.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":719,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0719.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":719,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0719.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":719,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0719.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":719,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0720.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":720,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0720.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":720,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0720.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":720,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0720.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":720,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0720.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":720,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0721.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":721,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0721.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":721,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0721.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":721,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0721.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":721,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0721.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":721,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0722.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":722,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0722.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":722,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0722.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":722,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0722.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":722,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0722.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":722,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0723.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":723,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0723.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":723,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0723.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":723,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0723.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":723,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0723.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":723,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0724.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":724,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0724.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":724,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0724.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":724,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0724.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":724,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0724.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":724,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0725.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":725,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0725.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":725,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0725.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":725,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0725.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":725,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0725.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":725,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0726.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":726,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0726.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":726,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0726.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":726,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0726.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":726,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0726.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":726,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0727.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":727,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0727.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":727,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0727.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":727,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0727.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":727,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0727.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":727,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0728.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":728,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0728.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":728,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0728.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":728,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0728.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":728,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0728.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":728,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0729.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":18,\"seed\":729,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0729.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":18,\"seed\":729,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0729.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":18,\"seed\":729,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0729.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":18,\"seed\":729,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0729.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":18,\"seed\":729,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0730.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":730,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0730.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":730,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0730.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":730,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0730.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":730,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0730.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":730,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0731.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":731,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0731.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":731,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0731.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":731,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0731.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":731,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0731.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":731,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0732.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":732,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0732.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":732,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0732.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":732,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0732.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":732,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0732.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":732,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0733.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":733,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0733.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":733,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0733.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":733,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0733.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":733,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0733.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":733,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0734.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":734,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0734.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":734,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0734.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":734,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0734.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":734,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0734.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":734,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0735.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":735,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0735.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":735,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0735.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":735,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0735.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":735,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0735.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":735,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0736.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":736,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0736.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":736,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0736.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":736,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0736.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":736,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0736.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":736,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0737.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":737,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0737.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":737,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0737.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":737,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0737.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":737,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0737.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":737,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0738.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":738,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0738.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":738,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0738.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":738,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0738.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":738,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0738.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":738,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0739.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":739,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0739.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":739,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0739.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":739,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0739.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":739,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0739.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":739,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0740.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":740,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0740.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":740,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0740.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":740,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0740.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":740,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0740.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":740,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0741.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":741,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0741.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":741,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0741.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":741,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0741.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":741,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0741.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":741,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0742.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":742,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0742.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":742,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0742.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":742,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0742.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":742,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0742.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":742,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0743.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":743,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0743.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":743,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0743.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":743,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0743.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":743,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0743.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":743,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0744.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":744,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0744.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":744,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0744.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":744,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0744.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":744,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0744.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":744,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0745.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":745,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0745.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":745,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0745.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":745,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0745.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":745,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0745.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":745,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0746.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":746,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0746.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":746,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0746.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":746,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0746.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":746,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0746.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":746,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0747.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":747,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0747.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":747,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0747.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":747,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0747.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":747,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0747.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":747,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0748.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":748,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0748.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":748,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0748.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":748,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0748.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":748,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0748.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":748,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0749.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":749,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0749.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":749,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0749.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":749,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0749.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":749,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0749.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":749,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0750.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":750,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0750.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":750,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0750.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":750,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0750.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":750,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0750.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":750,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0751.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":751,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0751.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":751,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0751.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":751,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0751.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":751,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0751.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":751,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0752.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":752,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0752.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":752,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0752.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":752,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0752.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":752,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0752.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":752,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0753.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":753,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0753.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":753,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0753.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":753,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0753.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":753,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0753.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":753,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0754.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":754,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0754.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":754,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0754.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":754,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0754.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":754,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0754.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":754,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0755.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":755,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0755.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":755,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0755.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":755,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0755.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":755,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0755.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":755,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0756.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":756,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0756.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":756,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0756.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":756,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0756.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":756,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0756.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":756,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0757.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":757,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0757.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":757,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0757.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":757,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0757.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":757,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0757.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":757,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0758.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":758,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0758.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":758,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0758.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":758,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0758.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":758,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0758.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":758,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0759.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":759,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0759.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":759,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0759.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":759,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0759.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":759,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0759.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":759,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0760.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":760,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0760.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":760,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0760.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":760,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0760.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":760,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0760.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":760,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0761.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":761,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0761.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":761,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0761.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":761,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0761.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":761,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0761.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":761,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0762.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":762,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0762.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":762,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0762.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":762,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0762.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":762,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0762.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":762,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0763.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":763,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0763.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":763,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0763.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":763,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0763.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":763,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0763.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":763,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0764.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":764,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0764.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":764,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0764.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":764,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0764.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":764,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0764.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":764,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0765.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":765,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0765.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":765,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0765.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":765,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0765.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":765,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0765.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":765,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0766.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":766,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0766.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":766,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0766.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":766,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0766.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":766,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0766.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":766,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0767.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":767,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0767.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":767,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0767.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":767,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0767.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":767,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0767.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":767,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0768.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":768,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0768.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":768,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0768.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":768,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0768.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":768,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0768.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":768,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0769.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":769,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0769.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":769,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0769.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":769,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0769.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":769,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0769.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":769,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0770.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":770,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0770.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":770,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0770.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":770,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0770.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":770,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0770.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":770,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0771.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":771,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0771.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":771,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0771.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":771,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0771.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":771,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0771.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":771,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0772.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":772,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0772.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":772,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0772.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":772,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0772.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":772,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0772.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":772,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0773.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":773,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0773.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":773,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0773.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":773,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0773.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":773,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0773.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":773,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0774.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":774,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0774.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":774,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0774.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":774,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0774.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":774,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0774.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":774,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0775.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":775,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0775.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":775,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0775.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":775,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0775.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":775,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0775.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":775,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0776.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":776,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0776.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":776,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0776.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":776,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0776.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":776,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0776.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":776,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0777.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":777,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0777.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":777,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0777.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":777,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0777.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":777,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0777.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":777,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0778.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":778,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0778.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":778,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0778.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":778,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0778.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":778,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0778.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":778,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0779.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":779,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0779.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":779,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0779.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":779,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0779.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":779,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0779.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":779,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0780.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":780,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0780.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":780,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0780.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":780,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0780.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":780,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0780.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":780,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0781.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":781,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0781.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":781,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0781.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":781,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0781.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":781,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0781.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":781,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0782.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":782,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0782.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":782,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0782.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":782,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0782.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":782,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0782.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":782,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0783.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":783,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0783.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":783,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0783.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":783,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0783.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":783,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0783.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":20,\"seed\":783,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0784.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":784,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0784.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":784,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0784.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":784,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0784.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":784,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0784.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":784,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0785.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":785,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0785.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":785,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0785.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":785,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0785.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":785,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0785.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":785,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0786.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":786,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0786.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":786,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0786.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":786,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0786.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":786,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0786.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":786,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0787.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":787,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0787.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":787,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0787.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":787,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0787.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":787,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0787.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":787,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0788.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":9,\"seed\":788,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0788.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":9,\"seed\":788,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0788.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":9,\"seed\":788,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0788.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":9,\"seed\":788,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0788.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":9,\"seed\":788,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0789.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":789,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0789.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":789,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0789.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":789,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0789.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":789,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0789.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":789,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0790.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":790,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0790.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":790,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0790.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":790,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0790.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":790,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0790.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":790,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0791.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":791,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0791.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":791,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0791.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":791,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0791.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":791,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0791.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":791,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0792.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":792,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0792.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":792,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0792.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":792,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0792.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":792,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0792.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":792,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0793.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":6,\"seed\":793,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0793.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":6,\"seed\":793,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0793.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":6,\"seed\":793,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0793.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":6,\"seed\":793,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0793.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":6,\"seed\":793,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0794.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":794,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0794.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":794,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0794.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":794,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0794.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":794,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0794.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":794,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0795.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":795,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0795.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":795,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0795.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":795,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0795.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":795,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0795.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":795,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0796.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":796,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0796.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":796,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0796.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":796,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0796.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":796,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0796.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":796,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0797.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":797,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0797.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":797,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0797.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":797,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0797.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":797,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0797.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":797,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0798.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":798,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0798.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":798,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0798.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":798,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0798.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":798,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0798.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":798,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0799.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":799,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0799.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":799,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0799.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":799,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0799.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":799,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0799.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":799,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0800.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":800,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0800.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":800,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0800.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":800,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0800.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":800,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0800.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":800,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0801.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":801,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0801.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":801,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0801.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":801,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0801.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":801,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0801.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":801,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0802.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":802,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0802.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":802,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0802.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":802,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0802.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":802,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0802.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":802,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0803.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":803,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0803.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":803,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0803.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":803,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0803.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":803,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0803.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":803,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0804.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":804,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0804.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":804,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0804.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":804,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0804.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":804,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0804.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":804,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0805.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":805,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0805.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":805,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0805.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":805,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0805.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":805,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0805.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":805,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0806.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":806,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0806.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":806,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0806.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":806,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0806.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":806,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0806.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":806,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0807.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":807,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0807.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":807,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0807.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":807,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0807.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":807,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0807.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":11,\"seed\":807,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0808.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":808,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0808.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":808,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0808.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":808,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0808.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":808,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0808.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":808,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0809.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":809,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0809.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":809,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0809.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":809,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0809.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":809,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0809.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":809,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0810.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":810,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0810.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":810,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0810.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":810,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0810.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":810,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0810.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":810,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0811.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":811,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0811.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":811,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0811.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":811,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0811.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":811,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0811.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":811,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0812.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":812,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0812.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":812,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0812.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":812,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0812.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":812,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0812.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":812,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0813.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":813,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0813.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":813,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0813.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":813,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0813.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":813,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0813.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":813,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0814.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":814,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0814.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":814,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0814.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":814,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0814.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":814,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0814.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":814,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0815.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":815,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0815.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":815,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0815.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":815,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0815.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":815,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0815.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":815,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0816.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":816,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0816.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":816,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0816.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":816,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0816.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":816,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0816.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":816,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0817.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":817,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0817.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":817,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0817.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":817,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0817.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":817,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0817.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":817,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0818.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":818,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0818.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":818,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0818.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":818,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0818.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":818,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0818.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":818,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0819.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":819,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0819.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":819,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0819.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":819,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0819.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":819,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0819.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":819,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0820.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":820,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0820.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":820,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0820.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":820,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0820.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":820,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0820.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":820,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0821.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":821,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0821.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":821,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0821.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":821,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0821.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":821,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0821.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":821,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0822.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":822,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0822.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":822,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0822.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":822,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0822.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":822,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0822.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":822,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0823.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":823,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0823.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":823,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0823.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":823,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0823.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":823,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0823.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":823,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0824.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":824,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0824.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":824,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0824.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":824,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0824.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":824,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0824.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":824,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0825.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":825,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0825.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":825,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0825.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":825,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0825.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":825,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0825.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":13,\"seed\":825,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0826.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":826,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0826.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":826,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0826.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":826,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0826.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":826,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0826.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":826,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0827.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":827,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0827.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":827,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0827.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":827,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0827.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":827,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0827.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":827,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0828.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":828,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0828.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":828,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0828.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":828,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0828.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":828,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0828.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":828,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0829.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":829,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0829.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":829,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0829.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":829,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0829.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":829,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0829.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":829,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0830.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":830,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0830.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":830,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0830.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":830,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0830.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":830,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0830.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":830,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0831.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":831,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0831.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":831,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0831.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":831,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0831.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":831,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0831.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":831,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0832.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":832,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0832.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":832,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0832.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":832,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0832.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":832,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0832.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":832,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0833.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":833,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0833.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":833,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0833.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":833,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0833.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":833,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0833.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":833,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0834.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":834,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0834.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":834,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0834.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":834,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0834.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":834,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0834.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":834,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0835.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":835,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0835.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":835,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0835.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":835,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0835.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":835,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0835.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":835,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0836.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":836,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0836.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":836,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0836.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":836,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0836.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":836,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0836.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":836,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0837.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":837,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0837.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":837,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0837.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":837,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0837.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":837,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0837.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":837,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0838.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":838,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0838.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":838,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0838.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":838,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0838.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":838,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0838.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":838,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0839.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":839,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0839.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":839,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0839.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":839,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0839.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":839,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0839.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":839,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0840.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":840,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0840.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":840,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0840.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":840,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0840.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":840,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0840.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":840,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0841.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":841,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0841.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":841,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0841.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":841,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0841.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":841,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0841.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":841,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0842.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":842,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0842.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":842,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0842.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":842,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0842.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":842,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0842.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":842,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0843.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":843,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0843.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":843,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0843.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":843,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0843.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":843,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0843.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":843,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0844.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":844,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0844.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":844,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0844.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":844,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0844.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":844,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0844.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":844,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0845.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":845,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0845.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":845,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0845.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":845,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0845.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":845,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0845.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":845,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0846.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":22,\"seed\":846,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0846.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":22,\"seed\":846,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0846.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":22,\"seed\":846,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0846.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":22,\"seed\":846,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0846.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":22,\"seed\":846,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0847.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":847,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0847.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":847,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0847.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":847,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0847.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":847,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0847.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":847,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0848.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":848,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0848.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":848,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0848.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":848,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0848.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":848,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0848.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":848,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0849.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":849,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0849.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":849,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0849.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":849,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0849.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":849,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0849.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":849,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_0850.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":850,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0850.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":850,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0850.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":850,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0850.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":850,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0850.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":850,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0851.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":851,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0851.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":851,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0851.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":851,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0851.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":851,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0851.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":851,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0852.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":852,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0852.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":852,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0852.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":852,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0852.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":852,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0852.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":852,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0853.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":853,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0853.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":853,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0853.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":853,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0853.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":853,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0853.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":853,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0854.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":854,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0854.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":854,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0854.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":854,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0854.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":854,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0854.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":854,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0855.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":855,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0855.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":855,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0855.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":855,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0855.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":855,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0855.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":855,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0856.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":856,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0856.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":856,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0856.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":856,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0856.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":856,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0856.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":856,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0857.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":857,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0857.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":857,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0857.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":857,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0857.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":857,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0857.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":857,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0858.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":858,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0858.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":858,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0858.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":858,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0858.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":858,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0858.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":858,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0859.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":859,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0859.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":859,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0859.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":859,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0859.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":859,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0859.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":859,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0860.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":860,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0860.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":860,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0860.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":860,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0860.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":860,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0860.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":860,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0861.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":861,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0861.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":861,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0861.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":861,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0861.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":861,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0861.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":861,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0862.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":862,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0862.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":862,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0862.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":862,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0862.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":862,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0862.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":862,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0863.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":863,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0863.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":863,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0863.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":863,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0863.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":863,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0863.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":863,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0864.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":19,\"seed\":864,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0864.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":19,\"seed\":864,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0864.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":19,\"seed\":864,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0864.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":19,\"seed\":864,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0864.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":19,\"seed\":864,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0865.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":865,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0865.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":865,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0865.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":865,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0865.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":865,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0865.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":865,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0866.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":866,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0866.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":866,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0866.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":866,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0866.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":866,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0866.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":866,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0867.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":867,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0867.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":867,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0867.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":867,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0867.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":867,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0867.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":867,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0868.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":868,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0868.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":868,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0868.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":868,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0868.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":868,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0868.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":868,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0869.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":869,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0869.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":869,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0869.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":869,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0869.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":869,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0869.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":869,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0870.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":870,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0870.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":870,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0870.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":870,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0870.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":870,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0870.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":870,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0871.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":871,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0871.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":871,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0871.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":871,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0871.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":871,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0871.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":871,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0872.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":872,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0872.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":872,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0872.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":872,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0872.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":872,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0872.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":872,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0873.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":873,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0873.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":873,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0873.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":873,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0873.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":873,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0873.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":873,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_0874.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":874,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0874.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":874,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0874.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":874,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0874.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":874,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0874.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":874,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0875.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":875,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0875.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":875,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0875.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":875,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0875.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":875,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0875.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":875,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0876.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":876,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0876.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":876,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0876.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":876,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0876.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":876,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0876.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":876,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0877.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":877,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0877.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":877,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0877.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":877,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0877.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":877,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0877.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":877,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0878.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":878,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0878.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":878,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0878.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":878,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0878.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":878,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0878.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":878,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0879.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":879,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0879.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":879,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0879.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":879,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0879.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":879,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0879.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":879,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0880.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":880,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0880.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":880,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0880.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":880,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0880.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":880,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0880.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":880,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0881.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":881,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0881.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":881,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0881.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":881,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0881.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":881,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0881.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":881,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0882.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":20,\"seed\":882,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0882.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":20,\"seed\":882,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0882.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":20,\"seed\":882,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0882.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":20,\"seed\":882,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0882.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":20,\"seed\":882,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0883.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":883,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0883.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":883,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0883.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":883,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0883.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":883,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0883.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":883,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0884.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":884,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0884.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":884,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0884.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":884,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0884.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":884,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0884.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":884,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0885.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":885,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0885.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":885,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0885.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":885,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0885.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":885,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0885.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":885,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0886.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":886,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0886.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":886,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0886.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":886,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0886.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":886,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0886.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":886,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0887.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":887,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0887.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":887,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0887.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":887,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0887.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":887,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0887.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":887,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0888.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":888,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0888.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":888,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0888.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":888,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0888.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":888,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0888.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":888,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0889.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":889,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0889.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":889,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0889.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":889,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0889.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":889,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0889.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":889,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0890.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":890,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0890.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":890,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0890.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":890,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0890.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":890,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0890.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":890,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0891.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":891,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0891.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":891,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0891.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":891,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0891.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":891,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0891.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":891,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0892.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":892,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0892.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":892,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0892.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":892,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0892.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":892,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0892.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":892,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0893.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":893,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0893.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":893,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0893.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":893,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0893.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":893,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0893.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":893,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0894.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":894,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0894.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":894,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0894.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":894,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0894.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":894,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0894.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":894,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0895.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":895,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0895.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":895,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0895.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":895,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0895.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":895,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0895.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":895,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0896.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":896,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0896.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":896,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0896.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":896,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0896.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":896,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0896.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":896,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0897.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":897,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0897.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":897,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0897.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":897,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0897.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":897,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0897.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":897,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0898.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":898,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0898.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":898,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0898.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":898,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0898.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":898,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0898.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":898,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0899.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":899,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0899.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":899,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0899.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":899,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0899.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":899,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0899.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":899,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0900.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":900,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0900.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":900,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0900.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":900,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0900.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":900,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0900.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":900,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0901.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":901,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0901.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":901,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0901.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":901,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0901.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":901,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0901.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":901,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0902.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":902,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0902.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":902,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0902.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":902,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0902.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":902,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0902.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5743,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":902,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0903.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":15,\"seed\":903,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0903.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":15,\"seed\":903,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0903.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":15,\"seed\":903,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0903.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (33)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":15,\"seed\":903,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0903.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":15,\"seed\":903,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0904.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":904,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0904.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":904,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0904.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":904,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0904.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":904,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0904.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":904,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0905.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":905,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0905.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":905,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0905.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":905,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0905.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":905,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0905.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":905,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0906.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":906,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0906.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":906,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0906.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":906,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0906.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":906,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0906.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":906,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0907.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":907,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0907.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":907,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0907.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":907,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0907.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":907,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0907.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":907,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0908.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":908,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0908.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":908,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0908.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":908,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0908.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":908,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0908.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":908,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0909.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":909,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0909.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":909,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0909.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":909,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0909.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":909,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0909.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":909,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0910.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":910,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0910.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":910,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0910.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":910,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0910.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":910,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0910.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":910,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0911.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":911,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0911.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":911,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0911.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":911,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0911.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":911,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0911.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":911,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0912.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":912,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0912.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":912,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0912.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":912,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0912.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":912,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0912.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":912,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0913.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":913,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0913.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":913,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0913.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":913,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0913.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":913,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0913.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":913,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0914.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":914,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0914.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":914,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0914.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":914,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0914.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":914,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0914.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":914,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0915.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":915,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0915.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":915,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0915.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":915,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0915.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":915,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0915.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":915,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0916.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":916,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0916.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":916,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0916.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":916,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0916.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":916,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0916.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":916,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0917.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":917,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0917.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":917,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0917.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":917,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0917.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":917,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0917.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":917,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0918.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":16,\"seed\":918,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0918.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":16,\"seed\":918,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0918.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":16,\"seed\":918,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0918.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":16,\"seed\":918,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0918.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":16,\"seed\":918,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_0919.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":919,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0919.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":919,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0919.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":919,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0919.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":919,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0919.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":919,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0920.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":920,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0920.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":920,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0920.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":920,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0920.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":920,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0920.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":920,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0921.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":921,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0921.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":921,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0921.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":921,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0921.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":921,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0921.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":921,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0922.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":922,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0922.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":922,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0922.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":922,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0922.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":922,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0922.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":922,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0923.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":923,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0923.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":923,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0923.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":923,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0923.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":923,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0923.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":923,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0924.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":924,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0924.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":924,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0924.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":924,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0924.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":924,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0924.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":924,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0925.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":925,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0925.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":925,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0925.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":925,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0925.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":925,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0925.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":925,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0926.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":926,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0926.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":926,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0926.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":926,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0926.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":926,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0926.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":926,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0927.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":927,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0927.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":927,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0927.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":927,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0927.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":927,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0927.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":927,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0928.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":928,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0928.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":928,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0928.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":928,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0928.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":928,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0928.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":928,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0929.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":929,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0929.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":929,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0929.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":929,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0929.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":929,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0929.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":929,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0930.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":930,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0930.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":930,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0930.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":930,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0930.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":930,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0930.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":930,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0931.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":931,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0931.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":931,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0931.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":931,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0931.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":931,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0931.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":931,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0932.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":932,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0932.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":932,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0932.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":932,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0932.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":932,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0932.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":932,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0933.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":933,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0933.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":933,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0933.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":933,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0933.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":933,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0933.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":933,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0934.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":934,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0934.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":934,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0934.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":934,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0934.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":934,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0934.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":934,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0935.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":935,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0935.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":935,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0935.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":935,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0935.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":935,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0935.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":935,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0936.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":936,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0936.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":936,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0936.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":936,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0936.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":936,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0936.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":936,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0937.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":937,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0937.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":937,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0937.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":937,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0937.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":937,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0937.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":937,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0938.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":938,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0938.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":938,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0938.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":938,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0938.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":938,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0938.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":938,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0939.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":939,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0939.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":939,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0939.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":939,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0939.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":939,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0939.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":939,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0940.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":940,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0940.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":940,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0940.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":940,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0940.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":940,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0940.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":940,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0941.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":941,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0941.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":941,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0941.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":941,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0941.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":941,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0941.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":941,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0942.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":942,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0942.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":942,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0942.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":942,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0942.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":942,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0942.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":942,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0943.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":943,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0943.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":943,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0943.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":943,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0943.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":943,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0943.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":943,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0944.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":944,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0944.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":944,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0944.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":944,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0944.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":944,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0944.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":944,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0945.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":945,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0945.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":945,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0945.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":945,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0945.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":945,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0945.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":945,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0946.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":946,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0946.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":946,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0946.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":946,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0946.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":946,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0946.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":946,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0947.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":947,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0947.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":947,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0947.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":947,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0947.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":947,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0947.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":947,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0948.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":948,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0948.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":948,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0948.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":948,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0948.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":948,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0948.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":948,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0949.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":949,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0949.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":949,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0949.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":949,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0949.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":949,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0949.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":949,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0950.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":950,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0950.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":950,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0950.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":950,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0950.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":950,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0950.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":950,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0951.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":951,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0951.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":951,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0951.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":951,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0951.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":951,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0951.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":951,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0952.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":952,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0952.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":952,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0952.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":952,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0952.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":952,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0952.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":952,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0953.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":953,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0953.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":953,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0953.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":953,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0953.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":953,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0953.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":953,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0954.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":954,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0954.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":954,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0954.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":954,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0954.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":954,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0954.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":954,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0955.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":955,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0955.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":955,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0955.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":955,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0955.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":955,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0955.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":955,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0956.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":956,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0956.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":956,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0956.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":956,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0956.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":956,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0956.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":956,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0957.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":957,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0957.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":957,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0957.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":957,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0957.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":957,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0957.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":957,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0958.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":958,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0958.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":958,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0958.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":958,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0958.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":958,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0958.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":958,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0959.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":959,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0959.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":959,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0959.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":959,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0959.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":959,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0959.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":959,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0960.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":960,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0960.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":960,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0960.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":960,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0960.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":960,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0960.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":960,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0961.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":961,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0961.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":961,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0961.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":961,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0961.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":961,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0961.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":961,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0962.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":962,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0962.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":962,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0962.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":962,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0962.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":962,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0962.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":962,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0963.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":963,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0963.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":963,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0963.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":963,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0963.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":963,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0963.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":963,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0964.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":964,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0964.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":964,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0964.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":964,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0964.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":964,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0964.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":964,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0965.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":965,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0965.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":965,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0965.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":965,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0965.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":965,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0965.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":965,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0966.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":966,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0966.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":966,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0966.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":966,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0966.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":966,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0966.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":966,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0967.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":967,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0967.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":967,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0967.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":967,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0967.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":967,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0967.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":967,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0968.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":968,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0968.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":968,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0968.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":968,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0968.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":968,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0968.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":968,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0969.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":969,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0969.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":969,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0969.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":969,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0969.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":969,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0969.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":969,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0970.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":970,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0970.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":970,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0970.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":970,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0970.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":970,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0970.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":970,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0971.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":971,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0971.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":971,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0971.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":971,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0971.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":971,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0971.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":971,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0972.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":972,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0972.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":972,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0972.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":972,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0972.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":972,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0972.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":972,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0973.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":973,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0973.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":973,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0973.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":973,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0973.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":973,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0973.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":973,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0974.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":974,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0974.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":974,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0974.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":974,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0974.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":974,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0974.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":974,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0975.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":975,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0975.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":975,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0975.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":975,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0975.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":975,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0975.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":975,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_0976.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":976,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0976.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":976,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0976.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":976,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0976.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":976,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0976.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":976,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0977.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":977,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0977.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":977,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0977.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":977,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0977.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":977,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0977.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":977,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0978.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":978,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0978.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":978,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0978.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":978,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0978.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":978,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0978.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":978,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0979.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":979,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0979.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":979,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0979.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":979,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0979.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":979,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0979.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":979,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0980.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":980,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0980.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":980,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0980.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":980,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0980.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":980,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0980.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":980,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0981.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":981,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0981.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":981,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0981.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":981,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0981.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":981,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0981.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":981,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0982.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":982,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0982.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":982,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0982.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":982,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0982.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":982,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0982.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":982,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0983.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":983,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0983.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":983,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0983.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":983,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0983.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":983,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0983.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":983,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0984.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":984,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0984.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":984,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0984.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":984,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0984.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":984,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0984.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":984,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_0985.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":985,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0985.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":985,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0985.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":985,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0985.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":985,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0985.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":985,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0986.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":986,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0986.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":986,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0986.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":986,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0986.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":986,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0986.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":986,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0987.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":987,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0987.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":987,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0987.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":987,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0987.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":987,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0987.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":18,\"seed\":987,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0988.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":988,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0988.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":988,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0988.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":988,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0988.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":988,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0988.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":988,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0989.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":989,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0989.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":989,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0989.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":989,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0989.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":989,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0989.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":10,\"seed\":989,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0990.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":990,\"shortest_path_length\":14}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0990.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":990,\"shortest_path_length\":14}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0990.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":990,\"shortest_path_length\":14}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0990.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":990,\"shortest_path_length\":14}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0990.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":990,\"shortest_path_length\":14}"}
{"task":"Image Description","image":"hex_pathfinding_0991.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":991,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0991.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":991,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0991.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":991,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0991.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":991,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0991.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":991,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_0992.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":992,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0992.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":992,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0992.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":992,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0992.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":992,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0992.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":992,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0993.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":993,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0993.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":993,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0993.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":993,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0993.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":993,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0993.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":993,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0994.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":994,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0994.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":994,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0994.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":994,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0994.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":994,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0994.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":994,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_0995.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":995,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0995.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":995,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0995.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":995,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0995.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":995,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0995.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":995,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_0996.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":996,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0996.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":996,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0996.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":996,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0996.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":996,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0996.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":996,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_0997.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":997,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0997.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":997,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0997.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":997,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0997.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":997,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0997.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":997,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_0998.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":998,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0998.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":998,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0998.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":998,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0998.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":998,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0998.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":998,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_0999.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":999,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_0999.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":999,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_0999.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":999,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_0999.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":999,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_0999.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":999,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1000.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1000,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1000.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1000,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1000.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1000,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1000.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1000,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1000.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1000,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1001.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1001,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1001.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1001,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1001.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1001,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1001.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1001,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1001.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1001,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1002.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1002,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1002.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1002,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1002.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1002,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1002.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1002,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1002.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1002,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1003.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1003,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1003.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1003,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1003.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1003,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1003.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1003,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1003.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1003,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1004.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":1004,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1004.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":1004,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1004.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":1004,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1004.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":1004,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1004.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":12,\"seed\":1004,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1005.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1005,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1005.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1005,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1005.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1005,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1005.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1005,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1005.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1005,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1006.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1006,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1006.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1006,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1006.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1006,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1006.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1006,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1006.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1006,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1007.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1007,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1007.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1007,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1007.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1007,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1007.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1007,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1007.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1007,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1008.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1008,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1008.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1008,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1008.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1008,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1008.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1008,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1008.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1008,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1009.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1009,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1009.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1009,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1009.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1009,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1009.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1009,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1009.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1009,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1010.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1010,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1010.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1010,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1010.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1010,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1010.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1010,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1010.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1010,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1011.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1011,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1011.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1011,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1011.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1011,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1011.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1011,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1011.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1011,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1012.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1012,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1012.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1012,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1012.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1012,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1012.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1012,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1012.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1012,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1013.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1013,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1013.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1013,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1013.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1013,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1013.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1013,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1013.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1013,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1014.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":1014,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1014.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":1014,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1014.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":1014,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1014.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":1014,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1014.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":12,\"seed\":1014,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1015.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1015,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1015.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1015,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1015.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1015,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1015.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1015,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1015.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1015,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1016.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1016,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1016.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1016,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1016.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1016,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1016.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1016,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1016.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1016,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1017.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":1017,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1017.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":1017,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1017.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":1017,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1017.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":1017,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1017.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":1017,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1018.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1018,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1018.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1018,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1018.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1018,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1018.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1018,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1018.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1018,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1019.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1019,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1019.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1019,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1019.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1019,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1019.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1019,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1019.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1019,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1020.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1020,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1020.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1020,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1020.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1020,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1020.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1020,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1020.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1020,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1021.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1021,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1021.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1021,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1021.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1021,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1021.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1021,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1021.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1021,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1022.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1022,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1022.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1022,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1022.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1022,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1022.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1022,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1022.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1022,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1023.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1023,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1023.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1023,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1023.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1023,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1023.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1023,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1023.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1023,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1024.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1024,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1024.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1024,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1024.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1024,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1024.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1024,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1024.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1024,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1025.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1025,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1025.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1025,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1025.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1025,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1025.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1025,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1025.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1025,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1026.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1026,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1026.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1026,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1026.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1026,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1026.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1026,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1026.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1026,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1027.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1027,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1027.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1027,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1027.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1027,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1027.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1027,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1027.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1027,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1028.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1028,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1028.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1028,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1028.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1028,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1028.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1028,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1028.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1028,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1029.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1029,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1029.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1029,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1029.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1029,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1029.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1029,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1029.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1029,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1030.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1030,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1030.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1030,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1030.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1030,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1030.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1030,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1030.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1030,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1031.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1031,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1031.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1031,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1031.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1031,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1031.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1031,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1031.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1031,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1032.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1032,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1032.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1032,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1032.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1032,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1032.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1032,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1032.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1032,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1033.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1033,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1033.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1033,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1033.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1033,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1033.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1033,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1033.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1033,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1034.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1034,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1034.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1034,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1034.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1034,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1034.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1034,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1034.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1034,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1035.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1035,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1035.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1035,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1035.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1035,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1035.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1035,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1035.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1035,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1036.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1036,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1036.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1036,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1036.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1036,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1036.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1036,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1036.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1036,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1037.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1037,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1037.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1037,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1037.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1037,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1037.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1037,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1037.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1037,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1038.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":1038,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1038.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":1038,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1038.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":1038,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1038.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":1038,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1038.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":17,\"seed\":1038,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1039.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1039,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1039.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1039,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1039.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1039,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1039.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1039,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1039.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1039,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1040.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1040,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1040.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1040,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1040.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1040,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1040.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1040,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1040.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1040,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1041.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1041,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1041.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1041,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1041.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1041,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1041.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1041,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1041.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1041,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1042.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1042,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1042.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1042,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1042.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1042,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1042.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1042,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1042.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1042,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1043.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1043,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1043.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1043,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1043.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1043,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1043.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1043,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1043.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1043,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1044.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1044,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1044.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1044,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1044.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1044,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1044.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1044,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1044.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1044,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1045.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1045,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1045.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1045,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1045.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1045,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1045.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1045,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1045.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1045,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1046.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1046,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1046.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1046,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1046.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1046,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1046.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1046,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1046.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1046,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1047.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":1047,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1047.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":1047,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1047.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":1047,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1047.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":1047,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1047.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":1047,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1048.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1048,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1048.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1048,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1048.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1048,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1048.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1048,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1048.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1048,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1049.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1049,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1049.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1049,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1049.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1049,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1049.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1049,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1049.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1049,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1050.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1050,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1050.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1050,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1050.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1050,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1050.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1050,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1050.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1050,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1051.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1051,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1051.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1051,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1051.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1051,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1051.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1051,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1051.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1051,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1052.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1052,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1052.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1052,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1052.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1052,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1052.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1052,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1052.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1052,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1053.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1053,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1053.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1053,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1053.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1053,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1053.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1053,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1053.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1053,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1054.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1054,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1054.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1054,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1054.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1054,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1054.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1054,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1054.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1054,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1055.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1055,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1055.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1055,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1055.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1055,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1055.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1055,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1055.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1055,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1056.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1056,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1056.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1056,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1056.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1056,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1056.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1056,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1056.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1056,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1057.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1057,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1057.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1057,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1057.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1057,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1057.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1057,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1057.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1057,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1058.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1058,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1058.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1058,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1058.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1058,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1058.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1058,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1058.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1058,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1059.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1059,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1059.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1059,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1059.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1059,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1059.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1059,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1059.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1059,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1060.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1060,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1060.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1060,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1060.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1060,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1060.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1060,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1060.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1060,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1061.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1061,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1061.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1061,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1061.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1061,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1061.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1061,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1061.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1061,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1062.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1062,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1062.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1062,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1062.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1062,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1062.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1062,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1062.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":19,\"seed\":1062,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1063.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1063,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1063.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1063,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1063.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1063,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1063.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1063,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1063.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1063,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1064.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1064,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1064.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1064,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1064.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1064,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1064.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1064,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1064.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1064,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1065.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1065,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1065.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1065,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1065.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1065,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1065.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1065,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1065.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1065,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1066.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1066,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1066.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1066,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1066.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1066,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1066.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1066,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1066.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1066,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1067.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1067,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1067.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1067,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1067.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1067,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1067.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1067,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1067.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1067,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1068.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1068,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1068.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1068,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1068.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1068,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1068.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1068,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1068.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":22,\"seed\":1068,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1069.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1069,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1069.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1069,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1069.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1069,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1069.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1069,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1069.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1069,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1070.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1070,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1070.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1070,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1070.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1070,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1070.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1070,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1070.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1070,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1071.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1071,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1071.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1071,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1071.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1071,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1071.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1071,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1071.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1071,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1072.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1072,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1072.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1072,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1072.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1072,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1072.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1072,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1072.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1072,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1073.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1073,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1073.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1073,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1073.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1073,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1073.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1073,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1073.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1073,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1074.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1074,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1074.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1074,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1074.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1074,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1074.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1074,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1074.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1074,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1075.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1075,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1075.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1075,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1075.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1075,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1075.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1075,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1075.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1075,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1076.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1076,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1076.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1076,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1076.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1076,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1076.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1076,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1076.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1076,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1077.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1077,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1077.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1077,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1077.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1077,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1077.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1077,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1077.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1077,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1078.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1078,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1078.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1078,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1078.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1078,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1078.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1078,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1078.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1078,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1079.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1079,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1079.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1079,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1079.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1079,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1079.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1079,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1079.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1079,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1080.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1080,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1080.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1080,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1080.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1080,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1080.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1080,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1080.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1080,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1081.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1081,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1081.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1081,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1081.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1081,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1081.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1081,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1081.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1081,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1082.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1082,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1082.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1082,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1082.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1082,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1082.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1082,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1082.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1082,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1083.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1083,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1083.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1083,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1083.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1083,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1083.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1083,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1083.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1083,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1084.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1084,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1084.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1084,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1084.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1084,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1084.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1084,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1084.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1084,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1085.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1085,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1085.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1085,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1085.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1085,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1085.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1085,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1085.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1085,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1086.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1086,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1086.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1086,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1086.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1086,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1086.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1086,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1086.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1086,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1087.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1087,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1087.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1087,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1087.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1087,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1087.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1087,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1087.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1087,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1088.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1088,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1088.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1088,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1088.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1088,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1088.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1088,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1088.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1088,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1089.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":14,\"seed\":1089,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1089.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":14,\"seed\":1089,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1089.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":14,\"seed\":1089,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1089.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (56)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":14,\"seed\":1089,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1089.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":56,\"num_hole_tiles\":14,\"seed\":1089,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1090.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1090,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1090.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1090,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1090.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1090,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1090.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1090,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1090.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1090,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1091.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1091,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1091.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1091,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1091.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1091,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1091.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1091,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1091.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1091,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1092.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":1092,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1092.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":1092,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1092.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":1092,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1092.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (25)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":1092,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1092.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":14,\"seed\":1092,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1093.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1093,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1093.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1093,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1093.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1093,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1093.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1093,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1093.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1093,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1094.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1094,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1094.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1094,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1094.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1094,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1094.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1094,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1094.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1094,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1095.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1095,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1095.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1095,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1095.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1095,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1095.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1095,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1095.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1095,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1096.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1096,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1096.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1096,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1096.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1096,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1096.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1096,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1096.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1096,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1097.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1097,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1097.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1097,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1097.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1097,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1097.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1097,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1097.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1097,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1098.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":1098,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1098.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":1098,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1098.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":1098,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1098.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":1098,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1098.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":1098,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1099.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1099,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1099.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1099,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1099.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1099,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1099.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1099,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1099.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1099,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1100.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1100,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1100.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1100,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1100.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1100,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1100.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1100,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1100.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1100,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1101.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1101,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1101.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1101,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1101.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1101,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1101.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1101,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1101.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1101,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1102.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1102,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1102.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1102,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1102.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1102,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1102.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1102,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1102.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1102,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1103.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1103,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1103.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1103,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1103.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1103,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1103.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1103,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1103.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1103,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1104.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1104,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1104.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1104,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1104.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1104,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1104.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1104,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1104.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1104,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1105.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1105,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1105.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1105,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1105.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1105,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1105.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1105,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1105.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1105,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1106.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":9,\"seed\":1106,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1106.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":9,\"seed\":1106,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1106.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":9,\"seed\":1106,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1106.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":9,\"seed\":1106,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1106.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":9,\"seed\":1106,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1107.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1107,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1107.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1107,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1107.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1107,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1107.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1107,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1107.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1107,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1108.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1108,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1108.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1108,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1108.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1108,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1108.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1108,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1108.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1108,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1109.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1109,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1109.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1109,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1109.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1109,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1109.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1109,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1109.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1109,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1110.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1110,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1110.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1110,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1110.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1110,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1110.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1110,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1110.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1110,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1111.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1111,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1111.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1111,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1111.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1111,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1111.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1111,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1111.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1111,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1112.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1112,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1112.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1112,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1112.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1112,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1112.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1112,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1112.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1112,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1113.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1113,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1113.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1113,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1113.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1113,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1113.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1113,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1113.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1113,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1114.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1114,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1114.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1114,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1114.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1114,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1114.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1114,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1114.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1114,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1115.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1115,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1115.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1115,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1115.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1115,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1115.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1115,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1115.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1115,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1116.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1116,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1116.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1116,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1116.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1116,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1116.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1116,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1116.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1116,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1117.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1117,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1117.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1117,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1117.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1117,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1117.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1117,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1117.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1117,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1118.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1118,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1118.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1118,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1118.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1118,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1118.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1118,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1118.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1118,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1119.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1119,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1119.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1119,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1119.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1119,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1119.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1119,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1119.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1119,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1120.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1120,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1120.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1120,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1120.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1120,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1120.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1120,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1120.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1120,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1121.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1121,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1121.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1121,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1121.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1121,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1121.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1121,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1121.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1121,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1122.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":20,\"seed\":1122,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1122.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":20,\"seed\":1122,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1122.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":20,\"seed\":1122,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1122.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":20,\"seed\":1122,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1122.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":20,\"seed\":1122,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1123.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1123,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1123.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1123,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1123.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1123,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1123.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1123,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1123.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1123,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1124.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":11,\"seed\":1124,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1124.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":11,\"seed\":1124,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1124.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":11,\"seed\":1124,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1124.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":11,\"seed\":1124,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1124.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":11,\"seed\":1124,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1125.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":1125,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1125.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":1125,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1125.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":1125,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1125.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":1125,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1125.png","prompt":"If the walkable tile marked with a purple X at axial position (0,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":1125,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1126.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1126,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1126.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1126,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1126.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1126,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1126.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1126,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1126.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1126,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1127.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1127,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1127.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1127,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1127.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1127,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1127.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1127,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1127.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1127,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1128.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1128,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1128.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1128,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1128.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1128,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1128.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1128,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1128.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1128,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1129.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1129,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1129.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1129,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1129.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1129,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1129.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1129,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1129.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1129,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1130.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1130,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1130.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1130,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1130.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1130,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1130.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1130,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1130.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1130,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1131.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":19,\"seed\":1131,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1131.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":19,\"seed\":1131,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1131.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":19,\"seed\":1131,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1131.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (38)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":19,\"seed\":1131,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1131.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":19,\"seed\":1131,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1132.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1132,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1132.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1132,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1132.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1132,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1132.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1132,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1132.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1132,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1133.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1133,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1133.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1133,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1133.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1133,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1133.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1133,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1133.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1133,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1134.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":18,\"seed\":1134,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1134.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":18,\"seed\":1134,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1134.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":18,\"seed\":1134,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1134.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":18,\"seed\":1134,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1134.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":18,\"seed\":1134,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1135.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1135,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1135.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1135,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1135.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1135,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1135.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1135,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1135.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1135,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1136.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1136,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1136.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1136,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1136.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1136,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1136.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1136,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1136.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1136,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1137.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1137,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1137.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1137,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1137.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1137,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1137.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1137,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1137.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1137,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1138.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1138,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1138.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1138,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1138.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1138,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1138.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1138,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1138.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1138,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1139.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1139,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1139.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1139,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1139.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1139,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1139.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1139,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1139.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1139,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1140.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1140,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1140.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1140,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1140.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1140,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1140.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1140,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1140.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1140,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1141.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1141,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1141.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1141,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1141.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1141,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1141.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1141,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1141.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1141,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1142.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1142,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1142.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1142,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1142.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1142,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1142.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1142,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1142.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1142,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1143.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1143,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1143.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1143,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1143.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1143,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1143.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1143,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1143.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1143,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1144.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1144,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1144.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1144,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1144.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1144,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1144.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1144,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1144.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1144,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1145.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1145,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1145.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1145,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1145.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1145,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1145.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1145,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1145.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1145,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1146.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1146,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1146.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1146,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1146.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1146,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1146.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1146,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1146.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1146,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1147.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1147,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1147.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1147,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1147.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1147,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1147.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1147,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1147.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1147,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1148.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1148,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1148.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1148,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1148.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1148,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1148.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1148,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1148.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1148,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1149.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1149,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1149.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1149,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1149.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1149,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1149.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1149,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1149.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1149,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1150.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1150,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1150.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1150,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1150.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1150,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1150.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1150,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1150.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1150,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1151.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":1151,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1151.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":1151,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1151.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":1151,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1151.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":1151,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1151.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":1151,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1152.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1152,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1152.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1152,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1152.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1152,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1152.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1152,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1152.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1152,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1153.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1153,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1153.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1153,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1153.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1153,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1153.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1153,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1153.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1153,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1154.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1154,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1154.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1154,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1154.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1154,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1154.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1154,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1154.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1154,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1155.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1155,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1155.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1155,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1155.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1155,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1155.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1155,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1155.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1155,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1156.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1156,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1156.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1156,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1156.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1156,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1156.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1156,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1156.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1156,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1157.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":1157,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1157.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":1157,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1157.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":1157,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1157.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":1157,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1157.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":1157,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1158.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1158,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1158.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1158,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1158.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1158,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1158.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1158,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1158.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1158,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1159.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1159,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1159.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1159,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1159.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1159,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1159.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1159,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1159.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1159,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1160.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1160,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1160.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1160,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1160.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1160,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1160.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1160,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1160.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1160,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1161.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1161,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1161.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1161,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1161.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1161,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1161.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1161,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1161.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1161,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1162.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1162,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1162.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1162,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1162.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1162,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1162.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1162,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1162.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1162,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1163.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1163,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1163.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1163,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1163.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1163,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1163.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1163,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1163.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1163,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1164.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1164,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1164.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1164,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1164.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1164,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1164.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1164,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1164.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1164,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1165.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":1165,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1165.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":1165,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1165.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":1165,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1165.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":1165,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1165.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":5,\"seed\":1165,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1166.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1166,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1166.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1166,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1166.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1166,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1166.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1166,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1166.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1166,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1167.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1167,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1167.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1167,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1167.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1167,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1167.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1167,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1167.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1167,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1168.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1168,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1168.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1168,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1168.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1168,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1168.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1168,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1168.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1168,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1169.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1169,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1169.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1169,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1169.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1169,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1169.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1169,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1169.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1169,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1170.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1170,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1170.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1170,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1170.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1170,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1170.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1170,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1170.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1170,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1171.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1171,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1171.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1171,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1171.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1171,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1171.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1171,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1171.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1171,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1172.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1172,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1172.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1172,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1172.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1172,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1172.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1172,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1172.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1172,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1173.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1173,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1173.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1173,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1173.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1173,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1173.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1173,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1173.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1173,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1174.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1174,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1174.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1174,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1174.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1174,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1174.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1174,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1174.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1174,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1175.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1175,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1175.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1175,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1175.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1175,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1175.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1175,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1175.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 13 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1175,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1176.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1176,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1176.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1176,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1176.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1176,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1176.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1176,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1176.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1176,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1177.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":1177,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1177.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":1177,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1177.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":1177,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1177.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":1177,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1177.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":1177,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1178.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1178,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1178.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1178,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1178.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1178,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1178.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1178,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1178.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1178,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1179.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":20,\"seed\":1179,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1179.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":20,\"seed\":1179,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1179.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":20,\"seed\":1179,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1179.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":20,\"seed\":1179,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1179.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":20,\"seed\":1179,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1180.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1180,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1180.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1180,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1180.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1180,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1180.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1180,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1180.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1180,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1181.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1181,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1181.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1181,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1181.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1181,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1181.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1181,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1181.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1181,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1182.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1182,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1182.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1182,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1182.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1182,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1182.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1182,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1182.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1182,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1183.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1183,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1183.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1183,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1183.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1183,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1183.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1183,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1183.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1183,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1184.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1184,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1184.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1184,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1184.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1184,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1184.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1184,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1184.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1184,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1185.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1185,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1185.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1185,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1185.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1185,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1185.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1185,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1185.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1185,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1186.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1186,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1186.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1186,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1186.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1186,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1186.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1186,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1186.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1186,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1187.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1187,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1187.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1187,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1187.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1187,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1187.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1187,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1187.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1187,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1188.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1188,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1188.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1188,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1188.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1188,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1188.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1188,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1188.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1188,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1189.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1189,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1189.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1189,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1189.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1189,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1189.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1189,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1189.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1189,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1190.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1190,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1190.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1190,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1190.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1190,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1190.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1190,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1190.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1190,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1191.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1191,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1191.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1191,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1191.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1191,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1191.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1191,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1191.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1191,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1192.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1192,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1192.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1192,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1192.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1192,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1192.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1192,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1192.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1192,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1193.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1193,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1193.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1193,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1193.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1193,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1193.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1193,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1193.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1193,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1194.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1194,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1194.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1194,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1194.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1194,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1194.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1194,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1194.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1194,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1195.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1195,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1195.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1195,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1195.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1195,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1195.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1195,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1195.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1195,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1196.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1196,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1196.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1196,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1196.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1196,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1196.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1196,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1196.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1196,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1197.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":13,\"seed\":1197,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1197.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":13,\"seed\":1197,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1197.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":13,\"seed\":1197,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1197.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":13,\"seed\":1197,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1197.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":13,\"seed\":1197,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1198.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1198,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1198.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1198,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1198.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1198,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1198.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1198,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1198.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1198,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1199.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1199,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1199.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1199,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1199.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1199,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1199.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1199,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1199.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1199,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1200.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":1200,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1200.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":1200,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1200.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":1200,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1200.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":1200,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1200.png","prompt":"If the walkable tile marked with a purple X at axial position (0,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":1200,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1201.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1201,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1201.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1201,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1201.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1201,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1201.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1201,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1201.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1201,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1202.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1202,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1202.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1202,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1202.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1202,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1202.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1202,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1202.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1202,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1203.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1203,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1203.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1203,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1203.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1203,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1203.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1203,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1203.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1203,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1204.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1204,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1204.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1204,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1204.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1204,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1204.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1204,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1204.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1204,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1205.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1205,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1205.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1205,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1205.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1205,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1205.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1205,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1205.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1205,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1206.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1206,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1206.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1206,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1206.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1206,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1206.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1206,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1206.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1206,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1207.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1207,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1207.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1207,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1207.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1207,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1207.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1207,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1207.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1207,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1208.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1208,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1208.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1208,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1208.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1208,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1208.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1208,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1208.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1208,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1209.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1209,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1209.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1209,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1209.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1209,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1209.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1209,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1209.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1209,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1210.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1210,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1210.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1210,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1210.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1210,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1210.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1210,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1210.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1210,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1211.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1211,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1211.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1211,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1211.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1211,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1211.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1211,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1211.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1211,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1212.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1212,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1212.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1212,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1212.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1212,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1212.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1212,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1212.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1212,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1213.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1213,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1213.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1213,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1213.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1213,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1213.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1213,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1213.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1213,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1214.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1214,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1214.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1214,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1214.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1214,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1214.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1214,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1214.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1214,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1215.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1215,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1215.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1215,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1215.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1215,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1215.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1215,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1215.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1215,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1216.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1216,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1216.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1216,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1216.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1216,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1216.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1216,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1216.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1216,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1217.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":1217,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1217.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":1217,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1217.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":1217,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1217.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":1217,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1217.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":1217,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1218.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1218,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1218.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1218,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1218.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1218,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1218.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1218,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1218.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1218,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1219.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1219,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1219.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1219,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1219.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1219,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1219.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1219,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1219.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1219,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1220.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1220,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1220.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1220,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1220.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1220,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1220.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1220,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1220.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1220,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1221.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1221,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1221.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1221,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1221.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1221,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1221.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1221,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1221.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1221,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1222.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1222,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1222.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1222,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1222.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1222,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1222.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1222,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1222.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1222,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1223.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1223,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1223.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1223,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1223.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1223,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1223.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1223,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1223.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1223,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1224.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1224,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1224.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1224,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1224.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1224,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1224.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1224,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1224.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1224,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1225.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1225,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1225.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1225,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1225.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1225,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1225.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1225,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1225.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1225,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1226.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1226,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1226.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1226,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1226.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1226,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1226.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1226,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1226.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1226,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1227.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":12,\"seed\":1227,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1227.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":12,\"seed\":1227,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1227.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":12,\"seed\":1227,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1227.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":12,\"seed\":1227,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1227.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":12,\"seed\":1227,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1228.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1228,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1228.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1228,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1228.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1228,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1228.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1228,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1228.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":1228,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1229.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1229,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1229.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1229,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1229.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1229,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1229.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1229,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1229.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1229,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1230.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1230,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1230.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1230,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1230.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1230,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1230.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1230,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1230.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1230,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1231.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1231,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1231.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1231,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1231.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1231,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1231.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1231,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1231.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1231,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1232.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1232,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1232.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1232,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1232.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1232,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1232.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1232,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1232.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1232,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1233.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":17,\"seed\":1233,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1233.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":17,\"seed\":1233,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1233.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":17,\"seed\":1233,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1233.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":17,\"seed\":1233,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1233.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":17,\"seed\":1233,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1234.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1234,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1234.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1234,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1234.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1234,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1234.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1234,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1234.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1234,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1235.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1235,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1235.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1235,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1235.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1235,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1235.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1235,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1235.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1235,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1236.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1236,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1236.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1236,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1236.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1236,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1236.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1236,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1236.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1236,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1237.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1237,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1237.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1237,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1237.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1237,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1237.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1237,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1237.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1237,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1238.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1238,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1238.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1238,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1238.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1238,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1238.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1238,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1238.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1238,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1239.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1239,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1239.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1239,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1239.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1239,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1239.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1239,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1239.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1239,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1240.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":6,\"seed\":1240,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1240.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":6,\"seed\":1240,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1240.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":6,\"seed\":1240,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1240.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":6,\"seed\":1240,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1240.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":6,\"seed\":1240,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1241.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1241,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1241.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1241,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1241.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1241,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1241.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1241,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1241.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1241,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1242.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1242,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1242.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1242,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1242.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1242,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1242.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1242,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1242.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1242,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1243.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1243,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1243.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1243,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1243.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1243,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1243.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1243,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1243.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1243,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1244.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1244,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1244.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1244,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1244.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1244,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1244.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1244,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1244.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1244,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1245.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1245,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1245.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1245,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1245.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1245,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1245.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1245,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1245.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1245,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1246.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1246,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1246.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1246,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1246.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1246,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1246.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1246,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1246.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1246,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1247.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1247,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1247.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1247,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1247.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1247,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1247.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1247,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1247.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1247,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1248.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1248,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1248.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1248,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1248.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1248,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1248.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1248,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1248.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1248,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1249.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1249,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1249.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1249,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1249.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1249,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1249.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1249,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1249.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1249,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1250.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1250,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1250.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1250,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1250.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1250,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1250.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1250,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1250.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1250,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1251.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1251,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1251.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1251,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1251.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1251,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1251.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1251,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1251.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":15,\"seed\":1251,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1252.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1252,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1252.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1252,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1252.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1252,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1252.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1252,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1252.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1252,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1253.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1253,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1253.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1253,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1253.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1253,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1253.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1253,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1253.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1253,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1254.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":19,\"seed\":1254,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1254.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":19,\"seed\":1254,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1254.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":19,\"seed\":1254,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1254.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":19,\"seed\":1254,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1254.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":19,\"seed\":1254,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1255.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1255,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1255.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1255,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1255.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1255,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1255.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1255,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1255.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1255,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1256.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":60,\"num_hole_tiles\":12,\"seed\":1256,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1256.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":60,\"num_hole_tiles\":12,\"seed\":1256,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1256.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":60,\"num_hole_tiles\":12,\"seed\":1256,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1256.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (60)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":60,\"num_hole_tiles\":12,\"seed\":1256,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1256.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 14 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":14,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":60,\"num_hole_tiles\":12,\"seed\":1256,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1257.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1257,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1257.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1257,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1257.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1257,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1257.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1257,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1257.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1257,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1258.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1258,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1258.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1258,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1258.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1258,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1258.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1258,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1258.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1258,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1259.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1259,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1259.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1259,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1259.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1259,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1259.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1259,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1259.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1259,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1260.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1260,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1260.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1260,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1260.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1260,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1260.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1260,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1260.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1260,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1261.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1261,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1261.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1261,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1261.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1261,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1261.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1261,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1261.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1261,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1262.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1262,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1262.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1262,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1262.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1262,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1262.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1262,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1262.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1262,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1263.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1263,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1263.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1263,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1263.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1263,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1263.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1263,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1263.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1263,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1264.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1264,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1264.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1264,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1264.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1264,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1264.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1264,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1264.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1264,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1265.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1265,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1265.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1265,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1265.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1265,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1265.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1265,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1265.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1265,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1266.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1266,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1266.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1266,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1266.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1266,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1266.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1266,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1266.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1266,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1267.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1267,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1267.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1267,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1267.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1267,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1267.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1267,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1267.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1267,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1268.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1268,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1268.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1268,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1268.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1268,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1268.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1268,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1268.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1268,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1269.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1269,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1269.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1269,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1269.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1269,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1269.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1269,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1269.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1269,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1270.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1270,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1270.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1270,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1270.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1270,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1270.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1270,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1270.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1270,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1271.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1271,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1271.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1271,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1271.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1271,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1271.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1271,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1271.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1271,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1272.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1272,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1272.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1272,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1272.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1272,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1272.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1272,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1272.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":1272,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1273.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1273,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1273.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1273,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1273.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1273,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1273.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1273,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1273.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1273,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1274.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1274,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1274.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1274,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1274.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1274,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1274.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1274,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1274.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1274,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1275.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1275,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1275.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1275,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1275.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1275,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1275.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1275,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1275.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1275,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1276.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1276,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1276.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1276,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1276.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1276,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1276.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1276,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1276.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1276,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1277.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1277,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1277.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1277,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1277.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1277,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1277.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1277,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1277.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1277,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1278.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1278,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1278.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1278,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1278.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1278,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1278.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1278,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1278.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1278,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1279.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1279,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1279.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1279,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1279.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1279,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1279.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1279,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1279.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1279,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1280.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1280,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1280.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1280,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1280.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1280,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1280.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1280,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1280.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1280,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1281.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1281,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1281.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1281,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1281.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1281,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1281.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1281,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1281.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1281,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1282.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1282,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1282.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1282,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1282.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1282,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1282.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1282,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1282.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1282,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1283.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1283,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1283.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1283,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1283.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1283,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1283.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1283,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1283.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1283,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1284.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1284,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1284.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1284,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1284.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1284,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1284.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1284,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1284.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1284,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1285.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1285,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1285.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1285,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1285.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1285,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1285.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1285,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1285.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1285,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1286.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":12,\"seed\":1286,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1286.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":12,\"seed\":1286,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1286.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":12,\"seed\":1286,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1286.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":12,\"seed\":1286,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1286.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":12,\"seed\":1286,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1287.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1287,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1287.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1287,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1287.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1287,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1287.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1287,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1287.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1287,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1288.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1288,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1288.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1288,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1288.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1288,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1288.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1288,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1288.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1288,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1289.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":1289,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1289.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":1289,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1289.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":1289,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1289.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":1289,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1289.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":1289,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1290.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":13,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1290,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1290.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":13,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1290,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1290.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":13,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1290,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1290.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":13,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1290,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1290.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":13,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1290,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1291.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1291,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1291.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1291,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1291.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1291,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1291.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1291,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1291.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1291,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1292.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1292,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1292.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1292,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1292.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1292,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1292.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1292,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1292.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1292,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1293.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1293,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1293.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1293,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1293.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1293,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1293.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1293,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1293.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1293,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1294.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1294,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1294.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1294,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1294.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1294,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1294.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1294,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1294.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1294,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1295.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1295,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1295.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1295,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1295.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1295,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1295.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1295,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1295.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1295,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1296.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1296,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1296.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1296,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1296.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1296,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1296.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1296,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1296.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1296,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1297.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1297,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1297.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1297,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1297.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1297,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1297.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1297,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1297.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1297,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1298.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1298,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1298.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1298,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1298.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1298,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1298.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1298,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1298.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1298,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1299.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1299,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1299.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1299,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1299.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1299,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1299.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1299,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1299.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1299,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1300.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1300,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1300.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1300,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1300.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1300,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1300.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1300,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1300.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1300,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1301.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1301,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1301.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1301,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1301.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1301,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1301.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1301,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1301.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1301,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1302.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1302,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1302.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1302,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1302.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1302,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1302.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1302,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1302.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1302,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1303.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1303,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1303.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1303,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1303.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1303,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1303.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1303,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1303.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1303,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1304.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1304,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1304.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1304,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1304.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1304,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1304.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1304,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1304.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1304,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1305.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1305,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1305.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1305,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1305.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1305,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1305.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1305,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1305.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1305,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1306.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1306,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1306.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1306,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1306.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1306,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1306.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1306,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1306.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1306,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1307.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1307,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1307.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1307,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1307.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1307,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1307.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1307,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1307.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1307,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1308.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":1308,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1308.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":1308,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1308.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":1308,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1308.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":1308,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1308.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":1308,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1309.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1309,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1309.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1309,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1309.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1309,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1309.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1309,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1309.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1309,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1310.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1310,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1310.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1310,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1310.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1310,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1310.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1310,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1310.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1310,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1311.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1311,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1311.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1311,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1311.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1311,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1311.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1311,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1311.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1311,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1312.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1312,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1312.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1312,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1312.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1312,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1312.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1312,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1312.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1312,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1313.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1313,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1313.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1313,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1313.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1313,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1313.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1313,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1313.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1313,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1314.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1314,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1314.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1314,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1314.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1314,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1314.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1314,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1314.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":14,\"seed\":1314,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1315.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1315,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1315.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1315,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1315.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1315,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1315.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1315,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1315.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1315,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1316.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1316,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1316.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1316,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1316.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1316,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1316.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1316,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1316.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1316,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1317.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1317,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1317.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1317,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1317.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1317,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1317.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1317,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1317.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1317,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1318.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1318,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1318.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1318,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1318.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1318,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1318.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1318,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1318.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1318,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1319.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1319,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1319.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1319,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1319.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1319,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1319.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1319,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1319.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1319,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1320.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1320,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1320.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1320,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1320.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1320,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1320.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1320,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1320.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1320,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1321.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1321,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1321.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1321,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1321.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1321,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1321.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1321,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1321.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1321,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1322.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1322,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1322.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1322,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1322.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1322,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1322.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1322,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1322.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1322,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1323.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1323,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1323.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1323,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1323.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1323,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1323.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1323,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1323.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1323,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1324.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1324,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1324.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1324,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1324.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1324,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1324.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1324,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1324.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1324,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1325.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1325,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1325.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1325,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1325.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1325,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1325.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1325,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1325.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1325,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1326.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1326,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1326.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1326,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1326.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1326,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1326.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1326,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1326.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1326,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1327.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1327,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1327.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1327,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1327.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1327,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1327.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1327,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1327.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1327,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1328.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1328,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1328.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1328,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1328.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1328,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1328.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1328,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1328.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1328,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1329.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1329,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1329.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1329,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1329.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1329,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1329.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1329,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1329.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1329,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1330.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1330,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1330.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1330,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1330.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1330,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1330.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1330,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1330.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1330,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1331.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1331,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1331.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1331,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1331.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1331,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1331.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1331,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1331.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1331,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1332.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1332,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1332.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1332,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1332.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1332,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1332.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1332,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1332.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1332,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1333.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1333,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1333.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1333,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1333.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1333,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1333.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1333,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1333.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1333,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1334.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1334,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1334.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1334,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1334.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1334,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1334.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1334,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1334.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1334,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1335.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":1335,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1335.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":1335,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1335.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":1335,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1335.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":1335,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1335.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":21,\"seed\":1335,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1336.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1336,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1336.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1336,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1336.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1336,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1336.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1336,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1336.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1336,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1337.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1337,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1337.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1337,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1337.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1337,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1337.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1337,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1337.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1337,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1338.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1338,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1338.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1338,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1338.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1338,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1338.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1338,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1338.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":1338,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1339.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1339,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1339.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1339,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1339.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1339,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1339.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1339,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1339.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1339,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1340.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1340,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1340.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1340,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1340.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1340,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1340.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1340,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1340.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1340,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1341.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1341,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1341.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1341,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1341.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1341,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1341.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1341,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1341.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1341,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_1342.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1342,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1342.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1342,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1342.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1342,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1342.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1342,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1342.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1342,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1343.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1343,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1343.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1343,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1343.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1343,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1343.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1343,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1343.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1343,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1344.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1344,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1344.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1344,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1344.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1344,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1344.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1344,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1344.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1344,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1345.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1345,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1345.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1345,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1345.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1345,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1345.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1345,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1345.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1345,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1346.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1346,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1346.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1346,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1346.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1346,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1346.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1346,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1346.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1346,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1347.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":1347,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1347.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":1347,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1347.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":1347,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1347.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":1347,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1347.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":1347,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1348.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1348,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1348.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1348,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1348.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1348,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1348.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1348,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1348.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1348,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1349.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1349,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1349.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1349,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1349.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1349,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1349.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1349,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1349.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1349,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1350.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1350,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1350.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1350,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1350.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1350,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1350.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1350,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1350.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1350,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1351.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1351,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1351.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1351,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1351.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1351,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1351.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1351,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1351.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1351,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1352.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":11,\"seed\":1352,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1352.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":11,\"seed\":1352,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1352.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":11,\"seed\":1352,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1352.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":11,\"seed\":1352,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1352.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":11,\"seed\":1352,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1353.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":1353,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1353.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":1353,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1353.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":1353,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1353.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":1353,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1353.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":1353,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1354.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1354,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1354.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1354,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1354.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1354,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1354.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1354,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1354.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1354,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1355.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1355,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1355.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1355,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1355.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1355,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1355.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1355,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1355.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":1355,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1356.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":1356,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1356.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":1356,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1356.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":1356,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1356.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":1356,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1356.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":1356,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1357.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1357,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1357.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1357,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1357.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1357,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1357.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1357,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1357.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1357,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1358.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1358,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1358.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1358,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1358.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1358,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1358.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1358,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1358.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1358,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1359.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":41,\"num_hole_tiles\":18,\"seed\":1359,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1359.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":41,\"num_hole_tiles\":18,\"seed\":1359,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1359.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":41,\"num_hole_tiles\":18,\"seed\":1359,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1359.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (41)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":41,\"num_hole_tiles\":18,\"seed\":1359,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1359.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":41,\"num_hole_tiles\":18,\"seed\":1359,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1360.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1360,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1360.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1360,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1360.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1360,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1360.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1360,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1360.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1360,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1361.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":14,\"seed\":1361,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1361.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":14,\"seed\":1361,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1361.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":14,\"seed\":1361,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1361.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":14,\"seed\":1361,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1361.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":14,\"seed\":1361,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1362.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1362,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1362.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1362,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1362.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1362,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1362.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1362,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1362.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":14,\"seed\":1362,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1363.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1363,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1363.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1363,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1363.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1363,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1363.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1363,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1363.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1363,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1364.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":1364,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1364.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":1364,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1364.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":1364,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1364.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":1364,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1364.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":1364,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1365.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1365,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1365.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1365,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1365.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1365,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1365.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1365,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1365.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":1365,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1366.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1366,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1366.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1366,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1366.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1366,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1366.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1366,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1366.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1366,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1367.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1367,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1367.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1367,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1367.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1367,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1367.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1367,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1367.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1367,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1368.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1368,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1368.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1368,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1368.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1368,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1368.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1368,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1368.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1368,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1369.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1369,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1369.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1369,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1369.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1369,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1369.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1369,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1369.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1369,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1370.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1370,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1370.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1370,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1370.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1370,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1370.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1370,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1370.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1370,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1371.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1371,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1371.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1371,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1371.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1371,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1371.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1371,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1371.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1371,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1372.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1372,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1372.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1372,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1372.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1372,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1372.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1372,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1372.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1372,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1373.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1373,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1373.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1373,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1373.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1373,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1373.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1373,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1373.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1373,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1374.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":20,\"seed\":1374,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1374.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":20,\"seed\":1374,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1374.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":20,\"seed\":1374,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1374.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (40)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":20,\"seed\":1374,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1374.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":40,\"num_hole_tiles\":20,\"seed\":1374,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1375.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1375,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1375.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1375,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1375.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1375,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1375.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1375,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1375.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1375,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1376.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1376,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1376.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1376,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1376.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1376,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1376.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1376,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1376.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1376,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1377.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1377,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1377.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1377,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1377.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1377,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1377.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1377,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1377.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1377,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1378.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1378,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1378.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1378,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1378.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1378,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1378.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1378,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1378.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1378,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1379.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":1379,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1379.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":1379,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1379.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":1379,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1379.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":1379,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1379.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":1379,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1380.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1380,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1380.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1380,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1380.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1380,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1380.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1380,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1380.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1380,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1381.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1381,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1381.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1381,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1381.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1381,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1381.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1381,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1381.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1381,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1382.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":10,\"seed\":1382,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1382.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":10,\"seed\":1382,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1382.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":10,\"seed\":1382,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1382.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":10,\"seed\":1382,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1382.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":10,\"seed\":1382,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1383.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1383,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1383.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1383,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1383.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1383,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1383.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1383,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1383.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1383,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1384.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1384,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1384.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1384,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1384.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1384,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1384.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1384,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1384.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1384,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1385.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1385,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1385.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1385,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1385.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1385,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1385.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1385,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1385.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1385,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1386.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1386,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1386.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1386,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1386.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1386,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1386.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1386,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1386.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":1386,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1387.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1387,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1387.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1387,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1387.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1387,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1387.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1387,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1387.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1387,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1388.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1388,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1388.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1388,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1388.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1388,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1388.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1388,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1388.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1388,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1389.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":1389,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1389.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":1389,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1389.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":1389,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1389.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":1389,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1389.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":13,\"seed\":1389,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1390.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1390,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1390.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1390,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1390.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1390,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1390.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1390,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1390.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1390,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1391.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1391,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1391.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1391,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1391.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1391,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1391.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1391,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1391.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1391,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1392.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1392,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1392.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1392,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1392.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1392,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1392.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1392,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1392.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1392,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1393.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1393,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1393.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1393,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1393.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1393,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1393.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1393,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1393.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1393,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1394.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1394,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1394.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1394,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1394.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1394,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1394.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1394,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1394.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1394,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1395.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":36,\"num_hole_tiles\":20,\"seed\":1395,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1395.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":36,\"num_hole_tiles\":20,\"seed\":1395,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1395.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":36,\"num_hole_tiles\":20,\"seed\":1395,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1395.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (36)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":36,\"num_hole_tiles\":20,\"seed\":1395,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1395.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":36,\"num_hole_tiles\":20,\"seed\":1395,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1396.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1396,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1396.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1396,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1396.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1396,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1396.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1396,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1396.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1396,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1397.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1397,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1397.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1397,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1397.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1397,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1397.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1397,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1397.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1397,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1398.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":1398,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1398.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":1398,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1398.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":1398,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1398.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":1398,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1398.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":1398,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1399.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1399,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1399.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1399,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1399.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1399,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1399.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1399,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1399.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1399,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1400.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1400,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1400.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1400,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1400.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1400,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1400.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1400,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1400.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1400,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1401.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1401,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1401.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1401,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1401.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1401,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1401.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1401,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1401.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1401,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1402.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1402,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1402.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1402,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1402.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1402,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1402.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1402,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1402.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1402,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1403.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1403,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1403.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1403,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1403.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1403,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1403.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1403,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1403.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1403,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1404.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1404,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1404.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1404,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1404.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1404,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1404.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1404,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1404.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1404,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1405.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1405,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1405.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1405,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1405.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1405,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1405.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1405,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1405.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1405,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1406.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":10,\"seed\":1406,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1406.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":10,\"seed\":1406,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1406.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":10,\"seed\":1406,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1406.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":10,\"seed\":1406,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1406.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":10,\"seed\":1406,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1407.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1407,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1407.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1407,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1407.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1407,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1407.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1407,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1407.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":19,\"seed\":1407,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1408.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1408,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1408.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1408,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1408.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1408,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1408.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1408,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1408.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1408,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1409.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1409,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1409.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1409,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1409.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1409,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1409.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1409,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1409.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1409,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1410.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":1410,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1410.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":1410,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1410.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":1410,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1410.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (27)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":1410,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1410.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":1410,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1411.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1411,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1411.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1411,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1411.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1411,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1411.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1411,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1411.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1411,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1412.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1412,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1412.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1412,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1412.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1412,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1412.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1412,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1412.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1412,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1413.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1413,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1413.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1413,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1413.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1413,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1413.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1413,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1413.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":1413,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1414.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1414,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1414.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1414,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1414.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1414,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1414.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1414,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1414.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1414,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1415.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1415,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1415.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1415,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1415.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1415,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1415.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1415,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1415.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1415,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1416.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1416,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1416.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1416,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1416.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1416,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1416.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1416,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1416.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1416,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1417.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1417,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1417.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1417,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1417.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1417,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1417.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1417,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1417.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1417,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1418.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1418,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1418.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1418,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1418.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1418,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1418.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1418,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1418.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1418,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1419.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1419,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1419.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1419,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1419.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1419,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1419.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1419,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1419.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1419,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1420.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1420,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1420.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1420,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1420.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1420,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1420.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1420,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1420.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1420,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1421.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1421,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1421.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1421,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1421.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1421,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1421.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1421,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1421.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1421,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1422.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":1422,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1422.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":1422,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1422.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":1422,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1422.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":1422,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1422.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":1422,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1423.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1423,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1423.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1423,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1423.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1423,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1423.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1423,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1423.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1423,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1424.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1424,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1424.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1424,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1424.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1424,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1424.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1424,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1424.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1424,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1425.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":1425,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1425.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":1425,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1425.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":1425,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1425.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":1425,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1425.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":1425,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1426.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1426,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1426.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1426,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1426.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1426,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1426.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1426,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1426.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1426,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1427.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1427,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1427.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1427,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1427.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1427,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1427.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1427,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1427.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1427,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1428.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1428,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1428.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1428,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1428.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1428,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1428.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1428,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1428.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1428,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1429.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1429,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1429.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1429,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1429.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1429,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1429.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1429,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1429.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1429,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1430.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":1430,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1430.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":1430,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1430.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":1430,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1430.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":1430,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1430.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":1430,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1431.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":1431,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1431.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":1431,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1431.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":1431,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1431.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":1431,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1431.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":19,\"seed\":1431,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1432.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1432,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1432.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1432,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1432.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1432,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1432.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1432,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1432.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1432,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1433.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1433,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1433.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1433,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1433.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1433,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1433.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1433,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1433.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1433,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1434.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":1434,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1434.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":1434,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1434.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":1434,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1434.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (33)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":1434,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1434.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":33,\"num_hole_tiles\":19,\"seed\":1434,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1435.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1435,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1435.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1435,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1435.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1435,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1435.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1435,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1435.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1435,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1436.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1436,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1436.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1436,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1436.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1436,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1436.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1436,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1436.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1436,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1437.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":45,\"num_hole_tiles\":14,\"seed\":1437,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1437.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":45,\"num_hole_tiles\":14,\"seed\":1437,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1437.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":45,\"num_hole_tiles\":14,\"seed\":1437,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1437.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (45)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":45,\"num_hole_tiles\":14,\"seed\":1437,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1437.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":45,\"num_hole_tiles\":14,\"seed\":1437,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1438.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1438,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1438.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1438,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1438.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1438,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1438.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1438,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1438.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1438,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1439.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1439,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1439.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1439,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1439.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1439,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1439.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1439,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1439.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1439,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1440.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1440,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1440.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1440,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1440.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1440,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1440.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1440,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1440.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1440,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1441.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1441,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1441.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1441,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1441.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1441,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1441.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1441,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1441.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1441,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1442.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":1442,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1442.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":1442,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1442.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":1442,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1442.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":1442,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1442.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":1442,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1443.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1443,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1443.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1443,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1443.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1443,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1443.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1443,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1443.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1443,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1444.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1444,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1444.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1444,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1444.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1444,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1444.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1444,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1444.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1444,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1445.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1445,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1445.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1445,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1445.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1445,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1445.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1445,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1445.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1445,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1446.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1446,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1446.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1446,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1446.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1446,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1446.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1446,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1446.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":16,\"seed\":1446,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1447.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1447,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1447.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1447,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1447.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1447,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1447.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1447,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1447.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1447,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1448.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1448,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1448.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1448,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1448.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1448,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1448.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1448,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1448.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1448,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1449.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":17,\"seed\":1449,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1449.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":17,\"seed\":1449,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1449.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":17,\"seed\":1449,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1449.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (25)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":17,\"seed\":1449,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1449.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":17,\"seed\":1449,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1450.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1450,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1450.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1450,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1450.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1450,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1450.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1450,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1450.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1450,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1451.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1451,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1451.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1451,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1451.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1451,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1451.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1451,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1451.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1451,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1452.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1452,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1452.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1452,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1452.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1452,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1452.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1452,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1452.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1452,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1453.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1453,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1453.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1453,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1453.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1453,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1453.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1453,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1453.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1453,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1454.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1454,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1454.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1454,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1454.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1454,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1454.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1454,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1454.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1454,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1455.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":1455,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1455.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":1455,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1455.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":1455,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1455.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":1455,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1455.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":18,\"seed\":1455,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1456.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1456,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1456.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1456,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1456.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1456,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1456.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1456,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1456.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1456,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1457.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1457,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1457.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1457,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1457.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1457,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1457.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1457,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1457.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1457,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1458.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":1458,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1458.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":1458,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1458.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":1458,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1458.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":1458,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1458.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":1458,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1459.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1459,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1459.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1459,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1459.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1459,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1459.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1459,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1459.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1459,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1460.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1460,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1460.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1460,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1460.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1460,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1460.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1460,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1460.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1460,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1461.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":1461,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1461.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":1461,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1461.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":1461,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1461.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":1461,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1461.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":21,\"seed\":1461,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1462.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1462,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1462.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1462,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1462.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1462,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1462.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1462,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1462.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1462,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1463.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1463,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1463.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1463,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1463.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1463,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1463.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1463,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1463.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1463,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1464.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1464,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1464.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1464,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1464.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1464,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1464.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1464,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1464.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1464,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1465.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1465,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1465.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1465,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1465.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1465,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1465.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1465,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1465.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1465,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1466.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1466,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1466.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1466,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1466.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1466,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1466.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1466,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1466.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1466,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1467.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":1467,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1467.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":1467,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1467.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":1467,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1467.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":1467,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1467.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":1467,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1468.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1468,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1468.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1468,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1468.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1468,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1468.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1468,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1468.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1468,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1469.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1469,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1469.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1469,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1469.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1469,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1469.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1469,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1469.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1469,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1470.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1470,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1470.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1470,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1470.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1470,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1470.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1470,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1470.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1470,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1471.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1471,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1471.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1471,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1471.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1471,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1471.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1471,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1471.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1471,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1472.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1472,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1472.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1472,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1472.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1472,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1472.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1472,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1472.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1472,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1473.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1473,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1473.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1473,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1473.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1473,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1473.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1473,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1473.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":1473,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1474.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1474,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1474.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1474,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1474.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1474,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1474.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1474,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1474.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1474,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1475.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1475,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1475.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1475,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1475.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1475,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1475.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1475,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1475.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1475,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1476.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1476,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1476.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1476,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1476.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1476,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1476.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1476,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1476.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1476,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1477.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1477,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1477.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1477,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1477.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1477,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1477.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1477,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1477.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1477,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1478.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1478,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1478.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1478,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1478.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1478,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1478.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1478,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1478.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1478,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1479.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1479,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1479.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1479,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1479.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1479,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1479.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1479,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1479.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1479,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1480.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1480,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1480.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1480,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1480.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1480,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1480.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1480,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1480.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1480,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1481.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1481,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1481.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1481,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1481.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1481,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1481.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1481,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1481.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1481,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1482.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1482,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1482.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1482,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1482.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1482,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1482.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1482,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1482.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":1482,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1483.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1483,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1483.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1483,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1483.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1483,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1483.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1483,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1483.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1483,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1484.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1484,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1484.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1484,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1484.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1484,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1484.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1484,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1484.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1484,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1485.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1485,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1485.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1485,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1485.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1485,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1485.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1485,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1485.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1485,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1486.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1486,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1486.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1486,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1486.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1486,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1486.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1486,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1486.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1486,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1487.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1487,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1487.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1487,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1487.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1487,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1487.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1487,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1487.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1487,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1488.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":15,\"seed\":1488,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1488.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":15,\"seed\":1488,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1488.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":15,\"seed\":1488,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1488.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":15,\"seed\":1488,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1488.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":15,\"seed\":1488,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1489.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1489,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1489.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1489,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1489.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1489,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1489.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1489,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1489.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1489,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1490.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1490,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1490.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1490,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1490.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1490,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1490.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1490,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1490.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1490,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1491.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1491,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1491.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1491,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1491.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1491,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1491.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1491,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1491.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1491,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1492.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1492,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1492.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1492,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1492.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1492,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1492.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1492,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1492.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1492,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1493.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1493,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1493.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1493,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1493.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1493,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1493.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1493,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1493.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1493,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1494.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1494,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1494.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1494,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1494.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1494,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1494.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1494,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1494.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1494,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1495.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1495,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1495.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1495,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1495.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1495,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1495.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1495,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1495.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1495,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1496.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1496,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1496.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1496,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1496.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1496,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1496.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1496,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1496.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1496,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1497.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1497,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1497.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1497,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1497.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1497,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1497.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1497,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1497.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1497,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1498.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1498,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1498.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1498,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1498.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1498,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1498.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1498,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1498.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1498,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1499.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1499,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1499.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1499,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1499.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1499,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1499.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1499,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1499.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1499,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1500.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1500,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1500.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1500,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1500.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1500,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1500.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1500,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1500.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1500,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1501.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1501,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1501.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1501,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1501.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1501,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1501.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1501,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1501.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1501,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1502.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":1502,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1502.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":1502,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1502.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":1502,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1502.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":1502,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1502.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":1502,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1503.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1503,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1503.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1503,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1503.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1503,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1503.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1503,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1503.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1503,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1504.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1504,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1504.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1504,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1504.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1504,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1504.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1504,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1504.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1504,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1505.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1505,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1505.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1505,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1505.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1505,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1505.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1505,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1505.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1505,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1506.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1506,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1506.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1506,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1506.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1506,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1506.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1506,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1506.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":20,\"seed\":1506,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1507.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1507,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1507.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1507,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1507.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1507,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1507.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1507,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1507.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1507,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1508.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1508,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1508.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1508,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1508.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1508,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1508.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1508,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1508.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1508,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1509.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1509,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1509.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1509,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1509.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1509,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1509.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1509,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1509.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1509,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1510.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1510,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1510.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1510,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1510.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1510,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1510.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1510,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1510.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":1510,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1511.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1511,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1511.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1511,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1511.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1511,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1511.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1511,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1511.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1511,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1512.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":1512,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1512.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":1512,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1512.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":1512,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1512.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":1512,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1512.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":17,\"seed\":1512,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1513.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1513,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1513.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1513,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1513.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1513,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1513.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1513,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1513.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1513,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1514.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1514,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1514.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1514,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1514.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1514,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1514.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1514,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1514.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1514,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1515.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1515,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1515.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1515,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1515.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1515,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1515.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1515,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1515.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1515,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1516.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1516,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1516.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1516,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1516.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1516,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1516.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1516,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1516.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1516,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1517.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1517,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1517.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1517,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1517.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1517,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1517.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1517,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1517.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1517,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1518.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1518,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1518.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1518,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1518.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1518,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1518.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1518,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1518.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1518,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1519.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1519,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1519.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1519,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1519.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1519,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1519.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1519,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1519.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1519,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1520.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1520,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1520.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1520,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1520.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1520,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1520.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1520,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1520.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1520,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1521.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1521,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1521.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1521,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1521.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1521,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1521.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1521,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1521.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1521,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1522.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1522,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1522.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1522,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1522.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1522,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1522.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1522,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1522.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1522,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1523.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1523,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1523.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1523,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1523.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1523,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1523.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1523,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1523.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1523,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1524.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":1524,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1524.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":1524,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1524.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":1524,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1524.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":1524,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1524.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":1524,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1525.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1525,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1525.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1525,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1525.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1525,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1525.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1525,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1525.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1525,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1526.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1526,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1526.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1526,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1526.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1526,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1526.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1526,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1526.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1526,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1527.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1527,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1527.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1527,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1527.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1527,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1527.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1527,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1527.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1527,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1528.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":5,\"seed\":1528,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1528.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":5,\"seed\":1528,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1528.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":5,\"seed\":1528,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1528.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":5,\"seed\":1528,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1528.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":5,\"seed\":1528,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1529.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1529,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1529.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1529,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1529.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1529,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1529.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1529,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1529.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1529,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1530.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1530,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1530.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1530,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1530.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1530,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1530.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1530,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1530.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1530,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1531.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1531,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1531.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1531,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1531.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1531,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1531.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1531,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1531.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":1531,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1532.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1532,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1532.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1532,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1532.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1532,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1532.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1532,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1532.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":1532,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1533.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":11,\"seed\":1533,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1533.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":11,\"seed\":1533,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1533.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":11,\"seed\":1533,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1533.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":11,\"seed\":1533,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1533.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":11,\"seed\":1533,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1534.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1534,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1534.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1534,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1534.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1534,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1534.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1534,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1534.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1534,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1535.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1535,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1535.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1535,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1535.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1535,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1535.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1535,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1535.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1535,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1536.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1536,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1536.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1536,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1536.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1536,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1536.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1536,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1536.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":1536,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1537.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1537,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1537.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1537,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1537.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1537,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1537.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1537,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1537.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1537,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1538.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1538,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1538.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1538,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1538.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1538,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1538.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1538,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1538.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1538,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1539.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":1539,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1539.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":1539,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1539.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":1539,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1539.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":1539,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1539.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":1539,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1540.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1540,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1540.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1540,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1540.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1540,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1540.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1540,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1540.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1540,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1541.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1541,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1541.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1541,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1541.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1541,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1541.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1541,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1541.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1541,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1542.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1542,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1542.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1542,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1542.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1542,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1542.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1542,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1542.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":20,\"seed\":1542,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1543.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1543,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1543.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1543,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1543.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1543,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1543.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1543,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1543.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1543,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1544.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1544,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1544.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1544,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1544.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1544,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1544.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1544,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1544.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":1544,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1545.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1545,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1545.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1545,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1545.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1545,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1545.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1545,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1545.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1545,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1546.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1546,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1546.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1546,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1546.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1546,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1546.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1546,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1546.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1546,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1547.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1547,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1547.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1547,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1547.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1547,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1547.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1547,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1547.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":11,\"seed\":1547,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1548.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1548,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1548.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1548,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1548.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1548,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1548.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1548,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1548.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":1548,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1549.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1549,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1549.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1549,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1549.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1549,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1549.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1549,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1549.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1549,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1550.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1550,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1550.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1550,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1550.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1550,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1550.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1550,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1550.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1550,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1551.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1551,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1551.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1551,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1551.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1551,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1551.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1551,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1551.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1551,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1552.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1552,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1552.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1552,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1552.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1552,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1552.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1552,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1552.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1552,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1553.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1553,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1553.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1553,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1553.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1553,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1553.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1553,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1553.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1553,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1554.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1554,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1554.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1554,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1554.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1554,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1554.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1554,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1554.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1554,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1555.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":5,\"seed\":1555,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1555.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":5,\"seed\":1555,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1555.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":5,\"seed\":1555,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1555.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":5,\"seed\":1555,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1555.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":5,\"seed\":1555,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1556.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1556,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1556.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1556,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1556.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1556,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1556.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1556,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1556.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1556,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1557.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1557,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1557.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1557,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1557.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1557,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1557.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1557,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1557.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":1557,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1558.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1558,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1558.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1558,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1558.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1558,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1558.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1558,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1558.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1558,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1559.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1559,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1559.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1559,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1559.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1559,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1559.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1559,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1559.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1559,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1560.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1560,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1560.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1560,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1560.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1560,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1560.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1560,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1560.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1560,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1561.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1561,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1561.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1561,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1561.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1561,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1561.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1561,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1561.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1561,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1562.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1562,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1562.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1562,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1562.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1562,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1562.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1562,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1562.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1562,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1563.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1563,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1563.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1563,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1563.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1563,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1563.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1563,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1563.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1563,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1564.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1564,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1564.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1564,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1564.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1564,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1564.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1564,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1564.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1564,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1565.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1565,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1565.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1565,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1565.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1565,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1565.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1565,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1565.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1565,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1566.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1566,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1566.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1566,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1566.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1566,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1566.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1566,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1566.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1566,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1567.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1567,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1567.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1567,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1567.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1567,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1567.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1567,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1567.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1567,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1568.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1568,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1568.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1568,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1568.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1568,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1568.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1568,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1568.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1568,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1569.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1569,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1569.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1569,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1569.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1569,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1569.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1569,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1569.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1569,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1570.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1570,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1570.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1570,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1570.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1570,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1570.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1570,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1570.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1570,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1571.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":13,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1571,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1571.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":13,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1571,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1571.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":13,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1571,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1571.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":13,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1571,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1571.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":13,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1571,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1572.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1572,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1572.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1572,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1572.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1572,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1572.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1572,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1572.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1572,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1573.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1573,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1573.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1573,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1573.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1573,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1573.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1573,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1573.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1573,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1574.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1574,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1574.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1574,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1574.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1574,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1574.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1574,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1574.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":10,\"seed\":1574,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1575.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1575,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1575.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1575,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1575.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1575,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1575.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1575,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1575.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1575,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1576.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1576,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1576.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1576,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1576.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1576,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1576.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1576,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1576.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1576,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1577.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1577,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1577.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1577,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1577.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1577,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1577.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1577,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1577.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1577,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1578.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":1578,\"shortest_path_length\":14}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1578.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":1578,\"shortest_path_length\":14}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1578.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":1578,\"shortest_path_length\":14}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1578.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":1578,\"shortest_path_length\":14}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1578.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":1578,\"shortest_path_length\":14}"}
{"task":"Image Description","image":"hex_pathfinding_1579.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1579,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1579.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1579,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1579.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1579,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1579.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1579,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1579.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1579,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1580.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1580,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1580.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1580,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1580.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1580,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1580.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1580,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1580.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1580,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1581.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1581,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1581.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1581,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1581.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1581,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1581.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1581,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1581.png","prompt":"If the walkable tile marked with a purple X at axial position (0,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1581,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1582.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1582,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1582.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1582,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1582.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1582,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1582.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1582,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1582.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1582,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1583.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1583,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1583.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1583,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1583.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1583,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1583.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1583,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1583.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1583,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1584.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1584,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1584.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1584,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1584.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1584,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1584.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1584,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1584.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1584,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1585.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1585,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1585.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1585,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1585.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1585,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1585.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1585,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1585.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1585,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1586.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1586,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1586.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1586,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1586.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1586,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1586.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1586,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1586.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1586,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1587.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1587,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1587.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1587,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1587.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1587,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1587.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1587,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1587.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1587,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1588.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1588,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1588.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1588,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1588.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1588,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1588.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1588,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1588.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1588,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1589.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1589,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1589.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1589,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1589.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1589,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1589.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1589,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1589.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1589,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1590.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1590,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1590.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1590,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1590.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1590,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1590.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1590,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1590.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1590,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1591.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1591,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1591.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1591,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1591.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1591,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1591.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1591,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1591.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1591,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1592.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1592,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1592.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1592,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1592.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1592,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1592.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1592,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1592.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1592,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1593.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":11,\"seed\":1593,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1593.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":11,\"seed\":1593,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1593.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":11,\"seed\":1593,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1593.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":11,\"seed\":1593,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1593.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":11,\"seed\":1593,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1594.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1594,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1594.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1594,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1594.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1594,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1594.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1594,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1594.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1594,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1595.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1595,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1595.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1595,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1595.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1595,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1595.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1595,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1595.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1595,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1596.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1596,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1596.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1596,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1596.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1596,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1596.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1596,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1596.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1596,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1597.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":12,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1597,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1597.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":12,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1597,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1597.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":12,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1597,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1597.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":12,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1597,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1597.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":12,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1597,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1598.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1598,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1598.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1598,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1598.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1598,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1598.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1598,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1598.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1598,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1599.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1599,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1599.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1599,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1599.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1599,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1599.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1599,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1599.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1599,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1600.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1600,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1600.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1600,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1600.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1600,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1600.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1600,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1600.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1600,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1601.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1601,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1601.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1601,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1601.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1601,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1601.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1601,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1601.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1601,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1602.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":1602,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1602.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":1602,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1602.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":1602,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1602.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (31)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":1602,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1602.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":1602,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1603.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1603,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1603.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1603,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1603.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1603,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1603.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1603,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1603.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1603,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1604.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1604,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1604.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1604,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1604.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1604,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1604.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1604,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1604.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1604,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1605.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1605,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1605.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1605,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1605.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1605,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1605.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1605,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1605.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1605,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1606.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1606,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1606.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1606,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1606.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1606,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1606.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1606,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1606.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1606,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1607.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1607,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1607.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1607,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1607.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1607,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1607.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1607,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1607.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1607,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1608.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1608,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1608.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1608,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1608.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1608,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1608.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1608,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1608.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1608,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1609.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1609,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1609.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1609,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1609.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1609,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1609.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1609,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1609.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1609,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1610.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1610,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1610.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1610,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1610.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1610,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1610.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1610,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1610.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1610,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1611.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1611,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1611.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1611,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1611.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1611,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1611.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1611,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1611.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1611,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1612.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1612,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1612.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1612,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1612.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1612,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1612.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1612,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1612.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1612,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1613.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1613,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1613.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1613,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1613.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1613,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1613.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1613,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1613.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1613,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1614.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1614,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1614.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1614,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1614.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1614,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1614.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1614,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1614.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1614,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1615.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1615,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1615.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1615,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1615.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1615,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1615.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1615,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1615.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1615,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1616.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1616,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1616.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1616,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1616.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1616,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1616.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1616,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1616.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1616,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1617.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1617,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1617.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1617,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1617.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1617,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1617.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1617,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1617.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1617,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1618.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1618,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1618.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1618,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1618.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1618,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1618.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1618,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1618.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1618,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1619.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1619,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1619.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1619,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1619.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1619,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1619.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1619,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1619.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1619,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1620.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1620,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1620.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1620,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1620.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1620,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1620.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1620,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1620.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1620,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1621.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":6,\"seed\":1621,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1621.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":6,\"seed\":1621,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1621.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":6,\"seed\":1621,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1621.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":6,\"seed\":1621,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1621.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":6,\"seed\":1621,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1622.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1622,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1622.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1622,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1622.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1622,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1622.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1622,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1622.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1622,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1623.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1623,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1623.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1623,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1623.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1623,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1623.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1623,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1623.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1623,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1624.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1624,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1624.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1624,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1624.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1624,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1624.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1624,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1624.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1624,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1625.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1625,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1625.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1625,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1625.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1625,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1625.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1625,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1625.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1625,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1626.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":1626,\"shortest_path_length\":16}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1626.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":1626,\"shortest_path_length\":16}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1626.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":1626,\"shortest_path_length\":16}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1626.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":1626,\"shortest_path_length\":16}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1626.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":1626,\"shortest_path_length\":16}"}
{"task":"Image Description","image":"hex_pathfinding_1627.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1627,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1627.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1627,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1627.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1627,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1627.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1627,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1627.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1627,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1628.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1628,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1628.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1628,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1628.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1628,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1628.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1628,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1628.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":11,\"seed\":1628,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1629.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":64,\"num_hole_tiles\":19,\"seed\":1629,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1629.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":64,\"num_hole_tiles\":19,\"seed\":1629,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1629.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":64,\"num_hole_tiles\":19,\"seed\":1629,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1629.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (64)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":64,\"num_hole_tiles\":19,\"seed\":1629,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1629.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":64,\"num_hole_tiles\":19,\"seed\":1629,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1630.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1630,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1630.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1630,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1630.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1630,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1630.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1630,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1630.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1630,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1631.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":9,\"seed\":1631,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1631.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":9,\"seed\":1631,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1631.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":9,\"seed\":1631,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1631.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":9,\"seed\":1631,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1631.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":9,\"seed\":1631,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1632.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1632,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1632.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1632,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1632.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1632,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1632.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1632,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1632.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1632,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1633.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1633,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1633.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1633,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1633.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1633,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1633.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1633,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1633.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1633,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1634.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1634,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1634.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1634,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1634.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1634,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1634.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1634,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1634.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1634,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1635.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1635,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1635.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1635,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1635.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1635,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1635.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1635,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1635.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1635,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1636.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1636,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1636.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1636,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1636.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1636,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1636.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1636,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1636.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":1636,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1637.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1637,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1637.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1637,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1637.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1637,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1637.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1637,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1637.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1637,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1638.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1638,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1638.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1638,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1638.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1638,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1638.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1638,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1638.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1638,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1639.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1639,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1639.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1639,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1639.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1639,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1639.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1639,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1639.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1639,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1640.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1640,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1640.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1640,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1640.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1640,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1640.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1640,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1640.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1640,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1641.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1641,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1641.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1641,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1641.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1641,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1641.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1641,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1641.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1641,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1642.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1642,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1642.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1642,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1642.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1642,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1642.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1642,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1642.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1642,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1643.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1643,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1643.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1643,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1643.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1643,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1643.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1643,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1643.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1643,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1644.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1644,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1644.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1644,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1644.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1644,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1644.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1644,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1644.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1644,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1645.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1645,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1645.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1645,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1645.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1645,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1645.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1645,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1645.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1645,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1646.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1646,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1646.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1646,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1646.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1646,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1646.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1646,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1646.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1646,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1647.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1647,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1647.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1647,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1647.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1647,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1647.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1647,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1647.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1647,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1648.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1648,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1648.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1648,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1648.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1648,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1648.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1648,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1648.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1648,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1649.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1649,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1649.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1649,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1649.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1649,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1649.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1649,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1649.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1649,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1650.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1650,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1650.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1650,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1650.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1650,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1650.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1650,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1650.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1650,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1651.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1651,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1651.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1651,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1651.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1651,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1651.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1651,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1651.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1651,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1652.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1652,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1652.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1652,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1652.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1652,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1652.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1652,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1652.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1652,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1653.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1653,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1653.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1653,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1653.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1653,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1653.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1653,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1653.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":1653,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1654.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1654,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1654.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1654,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1654.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1654,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1654.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1654,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1654.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1654,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1655.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1655,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1655.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1655,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1655.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1655,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1655.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1655,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1655.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1655,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1656.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1656,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1656.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1656,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1656.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1656,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1656.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1656,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1656.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1656,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1657.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1657,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1657.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1657,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1657.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1657,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1657.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1657,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1657.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":1657,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1658.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1658,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1658.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1658,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1658.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1658,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1658.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1658,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1658.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1658,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1659.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1659,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1659.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1659,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1659.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1659,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1659.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1659,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1659.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1659,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1660.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1660,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1660.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1660,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1660.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1660,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1660.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1660,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1660.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1660,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1661.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1661,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1661.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1661,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1661.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1661,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1661.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1661,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1661.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1661,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1662.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1662,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1662.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1662,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1662.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1662,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1662.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1662,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1662.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1662,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1663.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1663,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1663.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1663,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1663.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1663,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1663.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1663,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1663.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1663,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1664.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1664,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1664.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1664,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1664.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1664,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1664.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1664,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1664.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1664,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1665.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1665,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1665.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1665,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1665.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1665,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1665.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1665,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1665.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1665,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1666.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1666,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1666.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1666,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1666.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1666,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1666.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1666,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1666.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1666,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1667.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1667,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1667.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1667,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1667.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1667,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1667.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1667,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1667.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1667,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1668.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1668,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1668.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1668,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1668.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1668,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1668.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1668,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1668.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1668,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1669.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1669,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1669.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1669,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1669.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1669,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1669.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1669,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1669.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":1669,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1670.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1670,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1670.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1670,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1670.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1670,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1670.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1670,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1670.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1670,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1671.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1671,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1671.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1671,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1671.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1671,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1671.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1671,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1671.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1671,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1672.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1672,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1672.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1672,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1672.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1672,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1672.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1672,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1672.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":1672,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1673.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1673,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1673.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1673,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1673.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1673,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1673.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1673,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1673.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1673,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1674.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1674,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1674.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1674,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1674.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1674,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1674.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1674,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1674.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1674,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1675.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1675,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1675.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1675,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1675.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1675,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1675.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1675,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1675.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":1675,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1676.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1676,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1676.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1676,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1676.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1676,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1676.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1676,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1676.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1676,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1677.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1677,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1677.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1677,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1677.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1677,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1677.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1677,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1677.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1677,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1678.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1678,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1678.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1678,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1678.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1678,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1678.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1678,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1678.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1678,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1679.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1679,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1679.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1679,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1679.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1679,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1679.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1679,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1679.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1679,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1680.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":1680,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1680.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":1680,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1680.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":1680,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1680.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":1680,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1680.png","prompt":"If the walkable tile marked with a purple X at axial position (0,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":1680,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1681.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1681,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1681.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1681,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1681.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1681,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1681.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1681,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1681.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1681,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1682.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1682,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1682.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1682,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1682.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1682,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1682.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1682,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1682.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1682,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1683.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1683,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1683.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1683,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1683.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1683,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1683.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1683,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1683.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1683,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1684.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1684,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1684.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1684,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1684.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1684,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1684.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1684,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1684.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1684,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1685.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1685,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1685.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1685,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1685.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1685,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1685.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1685,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1685.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1685,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1686.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1686,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1686.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1686,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1686.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1686,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1686.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1686,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1686.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":1686,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1687.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1687,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1687.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1687,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1687.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1687,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1687.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1687,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1687.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1687,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1688.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1688,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1688.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1688,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1688.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1688,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1688.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1688,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1688.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1688,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1689.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1689,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1689.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1689,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1689.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1689,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1689.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1689,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1689.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":1689,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1690.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1690,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1690.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1690,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1690.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1690,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1690.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1690,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1690.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1690,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1691.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1691,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1691.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1691,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1691.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1691,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1691.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1691,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1691.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1691,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1692.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":1692,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1692.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":1692,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1692.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":1692,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1692.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":1692,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1692.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":1692,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1693.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1693,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1693.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1693,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1693.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1693,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1693.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1693,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1693.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":7,\"seed\":1693,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1694.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1694,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1694.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1694,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1694.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1694,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1694.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1694,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1694.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1694,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1695.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1695,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1695.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1695,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1695.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1695,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1695.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1695,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1695.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":1695,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1696.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1696,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1696.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1696,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1696.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1696,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1696.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1696,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1696.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1696,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1697.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":19,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1697,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1697.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":19,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1697,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1697.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":19,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1697,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1697.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":19,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1697,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1697.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":19,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1697,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1698.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1698,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1698.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1698,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1698.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1698,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1698.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1698,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1698.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1698,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1699.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1699,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1699.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1699,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1699.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1699,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1699.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1699,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1699.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1699,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1700.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1700,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1700.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1700,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1700.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1700,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1700.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1700,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1700.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1700,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1701.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1701,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1701.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1701,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1701.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1701,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1701.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1701,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1701.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":1701,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1702.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1702,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1702.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1702,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1702.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1702,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1702.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1702,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1702.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1702,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1703.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1703,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1703.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1703,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1703.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1703,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1703.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1703,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1703.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1703,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1704.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":1704,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1704.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":1704,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1704.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":1704,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1704.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":1704,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1704.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":22,\"seed\":1704,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1705.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1705,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1705.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1705,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1705.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1705,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1705.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1705,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1705.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1705,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1706.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":1706,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1706.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":1706,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1706.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":1706,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1706.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":1706,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1706.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":10,\"seed\":1706,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1707.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1707,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1707.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1707,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1707.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1707,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1707.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1707,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1707.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1707,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1708.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1708,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1708.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1708,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1708.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1708,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1708.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1708,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1708.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1708,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1709.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1709,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1709.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1709,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1709.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1709,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1709.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1709,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1709.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":1709,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1710.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1710,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1710.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1710,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1710.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1710,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1710.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1710,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1710.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1710,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1711.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1711,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1711.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1711,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1711.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1711,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1711.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1711,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1711.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1711,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1712.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1712,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1712.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1712,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1712.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1712,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1712.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1712,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1712.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1712,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1713.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":16,\"seed\":1713,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1713.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":16,\"seed\":1713,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1713.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":16,\"seed\":1713,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1713.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":16,\"seed\":1713,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1713.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":16,\"seed\":1713,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1714.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1714,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1714.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1714,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1714.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1714,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1714.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1714,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1714.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1714,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1715.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":1715,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1715.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":1715,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1715.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":1715,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1715.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":1715,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1715.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":1715,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1716.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1716,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1716.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1716,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1716.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1716,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1716.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1716,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1716.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":1716,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1717.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":1717,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1717.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":1717,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1717.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":1717,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1717.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":1717,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1717.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":1717,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1718.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1718,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1718.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1718,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1718.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1718,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1718.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1718,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1718.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1718,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1719.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1719,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1719.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1719,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1719.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1719,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1719.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1719,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1719.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1719,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1720.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1720,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1720.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1720,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1720.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1720,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1720.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1720,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1720.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1720,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1721.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1721,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1721.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1721,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1721.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1721,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1721.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1721,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1721.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":1721,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1722.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":22,\"seed\":1722,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1722.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":22,\"seed\":1722,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1722.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":22,\"seed\":1722,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1722.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":22,\"seed\":1722,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1722.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":22,\"seed\":1722,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1723.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1723,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1723.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1723,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1723.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1723,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1723.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1723,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1723.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1723,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1724.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1724,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1724.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1724,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1724.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1724,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1724.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1724,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1724.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1724,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1725.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1725,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1725.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1725,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1725.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1725,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1725.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1725,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1725.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1725,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1726.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1726,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1726.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1726,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1726.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1726,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1726.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1726,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1726.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":1726,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1727.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1727,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1727.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1727,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1727.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1727,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1727.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1727,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1727.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1727,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1728.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":15,\"seed\":1728,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1728.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":15,\"seed\":1728,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1728.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":15,\"seed\":1728,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1728.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":15,\"seed\":1728,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1728.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":15,\"seed\":1728,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1729.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1729,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1729.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1729,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1729.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1729,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1729.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1729,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1729.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1729,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1730.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1730,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1730.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1730,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1730.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1730,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1730.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1730,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1730.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1730,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1731.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1731,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1731.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1731,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1731.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1731,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1731.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1731,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1731.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1731,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1732.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1732,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1732.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1732,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1732.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1732,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1732.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1732,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1732.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1732,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1733.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1733,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1733.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1733,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1733.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1733,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1733.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1733,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1733.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1733,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1734.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1734,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1734.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1734,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1734.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1734,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1734.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1734,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1734.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1734,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1735.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1735,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1735.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1735,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1735.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1735,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1735.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1735,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1735.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1735,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1736.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1736,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1736.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1736,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1736.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1736,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1736.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1736,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1736.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1736,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1737.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1737,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1737.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1737,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1737.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1737,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1737.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1737,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1737.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1737,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1738.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1738,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1738.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1738,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1738.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1738,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1738.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1738,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1738.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1738,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1739.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1739,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1739.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1739,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1739.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1739,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1739.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1739,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1739.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1739,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1740.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1740,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1740.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1740,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1740.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1740,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1740.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1740,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1740.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1740,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1741.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1741,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1741.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1741,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1741.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1741,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1741.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1741,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1741.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1741,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1742.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1742,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1742.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1742,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1742.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1742,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1742.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1742,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1742.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1742,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1743.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1743,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1743.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1743,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1743.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1743,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1743.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1743,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1743.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":1743,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1744.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1744,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1744.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1744,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1744.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1744,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1744.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1744,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1744.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1744,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1745.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1745,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1745.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1745,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1745.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1745,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1745.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1745,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1745.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1745,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1746.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1746,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1746.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1746,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1746.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1746,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1746.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1746,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1746.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1746,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1747.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1747,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1747.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1747,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1747.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1747,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1747.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1747,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1747.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1747,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1748.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1748,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1748.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1748,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1748.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1748,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1748.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1748,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1748.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":1748,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1749.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1749,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1749.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1749,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1749.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1749,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1749.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1749,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1749.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1749,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1750.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1750,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1750.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1750,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1750.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1750,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1750.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1750,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1750.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1750,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1751.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1751,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1751.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1751,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1751.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1751,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1751.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1751,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1751.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":1751,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1752.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1752,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1752.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1752,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1752.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1752,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1752.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1752,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1752.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1752,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1753.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":7,\"seed\":1753,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1753.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":7,\"seed\":1753,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1753.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":7,\"seed\":1753,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1753.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":7,\"seed\":1753,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1753.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":7,\"seed\":1753,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1754.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1754,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1754.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1754,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1754.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1754,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1754.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1754,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1754.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1754,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1755.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1755,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1755.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1755,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1755.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1755,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1755.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1755,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1755.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":1755,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1756.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1756,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1756.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1756,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1756.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1756,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1756.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1756,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1756.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1756,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1757.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1757,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1757.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1757,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1757.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1757,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1757.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1757,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1757.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1757,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1758.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":1758,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1758.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":1758,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1758.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":1758,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1758.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":1758,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1758.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":1758,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1759.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1759,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1759.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1759,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1759.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1759,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1759.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1759,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1759.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1759,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1760.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1760,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1760.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1760,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1760.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1760,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1760.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1760,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1760.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1760,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1761.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1761,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1761.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1761,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1761.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1761,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1761.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1761,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1761.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":1761,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1762.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1762,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1762.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1762,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1762.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1762,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1762.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1762,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1762.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1762,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1763.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1763,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1763.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1763,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1763.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1763,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1763.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1763,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1763.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1763,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1764.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1764,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1764.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1764,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1764.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1764,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1764.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1764,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1764.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1764,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1765.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1765,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1765.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1765,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1765.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1765,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1765.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1765,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1765.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1765,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1766.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1766,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1766.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1766,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1766.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1766,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1766.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1766,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1766.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1766,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1767.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":16,\"seed\":1767,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1767.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":16,\"seed\":1767,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1767.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":16,\"seed\":1767,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1767.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (32)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":16,\"seed\":1767,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1767.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":32,\"num_hole_tiles\":16,\"seed\":1767,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1768.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1768,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1768.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1768,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1768.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1768,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1768.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1768,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1768.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1768,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1769.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1769,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1769.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1769,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1769.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1769,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1769.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1769,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1769.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1769,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1770.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1770,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1770.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1770,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1770.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1770,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1770.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1770,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1770.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1770,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1771.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1771,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1771.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1771,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1771.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1771,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1771.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1771,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1771.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1771,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1772.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1772,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1772.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1772,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1772.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1772,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1772.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1772,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1772.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1772,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1773.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1773,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1773.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1773,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1773.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1773,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1773.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1773,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1773.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1773,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1774.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1774,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1774.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1774,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1774.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1774,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1774.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1774,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1774.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1774,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1775.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1775,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1775.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1775,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1775.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1775,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1775.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1775,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1775.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1775,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1776.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1776,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1776.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1776,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1776.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1776,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1776.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1776,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1776.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1776,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1777.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1777,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1777.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1777,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1777.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1777,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1777.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1777,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1777.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1777,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1778.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1778,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1778.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1778,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1778.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1778,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1778.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1778,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1778.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1778,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1779.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1779,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1779.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1779,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1779.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1779,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1779.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1779,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1779.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1779,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1780.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1780,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1780.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1780,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1780.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1780,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1780.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1780,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1780.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1780,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1781.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1781,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1781.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1781,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1781.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1781,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1781.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1781,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1781.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1781,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1782.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1782,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1782.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1782,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1782.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1782,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1782.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1782,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1782.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":13,\"seed\":1782,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1783.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1783,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1783.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1783,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1783.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1783,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1783.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1783,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1783.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1783,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1784.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1784,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1784.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1784,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1784.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1784,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1784.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1784,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1784.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":8,\"seed\":1784,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1785.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1785,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1785.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1785,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1785.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1785,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1785.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1785,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1785.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1785,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1786.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1786,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1786.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1786,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1786.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1786,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1786.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1786,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1786.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1786,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1787.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1787,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1787.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1787,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1787.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1787,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1787.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1787,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1787.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1787,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1788.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1788,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1788.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1788,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1788.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1788,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1788.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1788,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1788.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1788,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1789.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1789,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1789.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1789,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1789.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1789,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1789.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1789,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1789.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1789,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1790.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1790,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1790.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1790,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1790.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1790,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1790.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1790,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1790.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1790,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1791.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1791,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1791.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1791,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1791.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1791,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1791.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1791,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1791.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1791,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1792.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1792,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1792.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1792,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1792.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1792,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1792.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1792,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1792.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1792,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1793.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1793,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1793.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1793,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1793.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1793,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1793.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1793,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1793.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":1793,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1794.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":15,\"seed\":1794,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1794.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":15,\"seed\":1794,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1794.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":15,\"seed\":1794,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1794.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":15,\"seed\":1794,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1794.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":15,\"seed\":1794,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1795.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1795,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1795.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1795,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1795.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1795,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1795.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1795,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1795.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1795,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1796.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1796,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1796.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1796,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1796.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1796,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1796.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1796,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1796.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1796,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1797.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1797,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1797.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1797,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1797.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1797,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1797.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1797,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1797.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6818,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1797,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1798.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1798,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1798.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1798,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1798.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1798,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1798.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1798,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1798.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1798,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1799.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1799,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1799.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1799,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1799.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1799,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1799.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1799,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1799.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1799,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1800.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1800,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1800.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1800,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1800.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1800,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1800.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1800,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1800.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1800,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1801.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1801,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1801.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1801,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1801.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1801,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1801.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1801,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1801.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1801,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1802.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1802,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1802.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1802,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1802.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1802,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1802.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1802,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1802.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":1802,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1803.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":1803,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1803.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":1803,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1803.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":1803,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1803.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":1803,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1803.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":1803,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1804.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1804,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1804.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1804,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1804.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1804,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1804.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1804,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1804.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":1804,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1805.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1805,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1805.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1805,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1805.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1805,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1805.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1805,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1805.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1805,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1806.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1806,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1806.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1806,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1806.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1806,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1806.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1806,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1806.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1806,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1807.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1807,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1807.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1807,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1807.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1807,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1807.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1807,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1807.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1807,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1808.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1808,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1808.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1808,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1808.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1808,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1808.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1808,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1808.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1808,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1809.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1809,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1809.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1809,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1809.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1809,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1809.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1809,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1809.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1809,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1810.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1810,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1810.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1810,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1810.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1810,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1810.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1810,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1810.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1810,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1811.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1811,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1811.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1811,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1811.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1811,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1811.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1811,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1811.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1811,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1812.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1812,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1812.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1812,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1812.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1812,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1812.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1812,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1812.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":1812,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1813.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1813,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1813.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1813,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1813.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1813,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1813.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1813,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1813.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":1813,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1814.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1814,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1814.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1814,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1814.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1814,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1814.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1814,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1814.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1814,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1815.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1815,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1815.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1815,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1815.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1815,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1815.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1815,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1815.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":1815,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1816.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1816,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1816.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1816,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1816.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1816,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1816.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1816,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1816.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1816,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1817.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1817,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1817.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1817,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1817.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1817,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1817.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1817,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1817.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1817,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1818.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":18,\"seed\":1818,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1818.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":18,\"seed\":1818,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1818.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":18,\"seed\":1818,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1818.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (34)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":18,\"seed\":1818,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1818.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":18,\"seed\":1818,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1819.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1819,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1819.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1819,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1819.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1819,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1819.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1819,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1819.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1819,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1820.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1820,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1820.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1820,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1820.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1820,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1820.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1820,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1820.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1820,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1821.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1821,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1821.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1821,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1821.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1821,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1821.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1821,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1821.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1821,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1822.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1822,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1822.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1822,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1822.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1822,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1822.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1822,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1822.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1822,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1823.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1823,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1823.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1823,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1823.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1823,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1823.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1823,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1823.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":1823,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1824.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1824,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1824.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1824,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1824.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1824,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1824.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1824,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1824.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":1824,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1825.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":5,\"seed\":1825,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1825.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":5,\"seed\":1825,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1825.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":5,\"seed\":1825,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1825.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":5,\"seed\":1825,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1825.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":5,\"seed\":1825,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1826.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1826,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1826.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1826,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1826.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1826,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1826.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1826,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1826.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1826,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1827.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1827,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1827.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1827,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1827.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1827,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1827.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1827,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1827.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":15,\"seed\":1827,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1828.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1828,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1828.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1828,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1828.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1828,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1828.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1828,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1828.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1828,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1829.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1829,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1829.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1829,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1829.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1829,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1829.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1829,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1829.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":1829,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1830.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1830,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1830.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1830,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1830.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1830,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1830.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1830,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1830.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1830,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1831.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1831,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1831.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1831,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1831.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1831,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1831.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1831,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1831.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1831,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1832.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1832,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1832.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1832,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1832.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1832,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1832.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1832,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1832.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":1832,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1833.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1833,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1833.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1833,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1833.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1833,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1833.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1833,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1833.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":1833,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1834.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1834,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1834.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1834,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1834.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1834,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1834.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1834,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1834.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1834,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1835.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1835,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1835.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1835,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1835.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1835,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1835.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1835,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1835.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1835,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1836.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1836,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1836.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1836,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1836.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1836,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1836.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1836,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1836.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":1836,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1837.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1837,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1837.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1837,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1837.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1837,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1837.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1837,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1837.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1837,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1838.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1838,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1838.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1838,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1838.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1838,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1838.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1838,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1838.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1838,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1839.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":12,\"seed\":1839,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1839.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":12,\"seed\":1839,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1839.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":12,\"seed\":1839,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1839.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":12,\"seed\":1839,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1839.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":12,\"seed\":1839,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1840.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1840,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1840.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1840,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1840.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1840,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1840.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1840,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1840.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1840,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1841.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":12,\"seed\":1841,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1841.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":12,\"seed\":1841,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1841.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":12,\"seed\":1841,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1841.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (27)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":12,\"seed\":1841,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1841.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":12,\"seed\":1841,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1842.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1842,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1842.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1842,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1842.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1842,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1842.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1842,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1842.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":1842,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1843.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1843,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1843.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1843,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1843.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1843,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1843.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1843,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1843.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1843,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1844.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1844,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1844.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1844,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1844.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1844,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1844.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1844,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1844.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":1844,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1845.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1845,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1845.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1845,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1845.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1845,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1845.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1845,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1845.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1845,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1846.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1846,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1846.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1846,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1846.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1846,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1846.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1846,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1846.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":1846,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1847.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1847,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1847.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1847,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1847.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1847,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1847.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1847,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1847.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1847,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1848.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":16,\"seed\":1848,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1848.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":16,\"seed\":1848,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1848.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":16,\"seed\":1848,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1848.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (35)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":16,\"seed\":1848,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1848.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":35,\"num_hole_tiles\":16,\"seed\":1848,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1849.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1849,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1849.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1849,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1849.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1849,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1849.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1849,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1849.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1849,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1850.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1850,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1850.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1850,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1850.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1850,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1850.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1850,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1850.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":1850,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1851.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1851,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1851.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1851,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1851.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1851,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1851.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1851,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1851.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":1851,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1852.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1852,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1852.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1852,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1852.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1852,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1852.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1852,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1852.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":1852,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1853.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1853,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1853.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1853,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1853.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1853,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1853.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1853,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1853.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":1853,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1854.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1854,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1854.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1854,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1854.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1854,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1854.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1854,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1854.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":1854,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1855.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1855,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1855.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1855,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1855.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1855,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1855.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1855,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1855.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":9,\"seed\":1855,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1856.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1856,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1856.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1856,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1856.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1856,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1856.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1856,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1856.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":1856,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1857.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":1857,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1857.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":1857,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1857.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":1857,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1857.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":1857,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1857.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":13,\"seed\":1857,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1858.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":6,\"seed\":1858,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1858.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":6,\"seed\":1858,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1858.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":6,\"seed\":1858,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1858.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":6,\"seed\":1858,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1858.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":6,\"seed\":1858,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1859.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1859,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1859.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1859,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1859.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1859,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1859.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1859,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1859.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1859,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1860.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1860,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1860.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1860,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1860.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1860,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1860.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1860,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1860.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":1860,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1861.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1861,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1861.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1861,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1861.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1861,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1861.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1861,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1861.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1861,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1862.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1862,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1862.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1862,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1862.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1862,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1862.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1862,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1862.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1862,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1863.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1863,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1863.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1863,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1863.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1863,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1863.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1863,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1863.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":1863,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1864.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1864,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1864.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1864,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1864.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1864,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1864.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1864,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1864.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1864,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1865.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1865,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1865.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1865,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1865.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1865,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1865.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1865,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1865.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":1865,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1866.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1866,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1866.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1866,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1866.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1866,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1866.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1866,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1866.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1866,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1867.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1867,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1867.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1867,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1867.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1867,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1867.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1867,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1867.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1867,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1868.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1868,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1868.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1868,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1868.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1868,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1868.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1868,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1868.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1868,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1869.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1869,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1869.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1869,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1869.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1869,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1869.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1869,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1869.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":1869,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1870.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1870,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1870.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1870,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1870.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1870,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1870.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1870,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1870.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1870,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1871.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1871,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1871.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1871,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1871.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1871,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1871.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1871,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1871.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1871,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1872.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1872,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1872.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1872,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1872.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1872,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1872.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1872,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1872.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1872,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1873.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1873,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1873.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1873,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1873.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1873,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1873.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1873,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1873.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":1873,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1874.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1874,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1874.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1874,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1874.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1874,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1874.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1874,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1874.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1874,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1875.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1875,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1875.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1875,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1875.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1875,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1875.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1875,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1875.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":1875,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1876.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1876,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1876.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1876,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1876.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1876,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1876.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1876,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1876.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1876,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1877.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1877,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1877.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1877,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1877.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1877,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1877.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1877,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1877.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":1877,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1878.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1878,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1878.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1878,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1878.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1878,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1878.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1878,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1878.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1878,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1879.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1879,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1879.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1879,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1879.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1879,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1879.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1879,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1879.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1879,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1880.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1880,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1880.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1880,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1880.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1880,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1880.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1880,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1880.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":1880,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1881.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1881,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1881.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1881,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1881.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1881,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1881.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1881,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1881.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1881,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1882.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1882,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1882.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1882,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1882.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1882,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1882.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1882,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1882.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1882,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1883.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1883,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1883.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1883,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1883.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1883,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1883.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1883,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1883.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":1883,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1884.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":1884,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1884.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":1884,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1884.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":1884,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1884.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":1884,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1884.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":1884,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1885.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1885,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1885.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1885,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1885.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1885,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1885.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1885,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1885.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1885,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1886.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1886,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1886.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1886,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1886.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1886,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1886.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1886,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1886.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":1886,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1887.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1887,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1887.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1887,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1887.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1887,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1887.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1887,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1887.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":1887,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1888.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1888,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1888.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1888,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1888.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1888,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1888.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1888,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1888.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":1888,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1889.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1889,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1889.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1889,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1889.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1889,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1889.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1889,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1889.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":1889,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1890.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1890,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1890.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1890,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1890.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1890,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1890.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1890,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1890.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":1890,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1891.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1891,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1891.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1891,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1891.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1891,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1891.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1891,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1891.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":1891,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1892.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1892,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1892.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1892,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1892.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1892,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1892.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1892,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1892.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1892,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1893.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":1893,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1893.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":1893,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1893.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":1893,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1893.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":1893,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1893.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":1893,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1894.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1894,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1894.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1894,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1894.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1894,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1894.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1894,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1894.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":1894,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1895.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1895,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1895.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1895,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1895.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1895,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1895.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1895,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1895.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1895,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1896.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1896,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1896.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1896,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1896.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1896,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1896.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1896,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1896.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":15,\"seed\":1896,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1897.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1897,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1897.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1897,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1897.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1897,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1897.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1897,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1897.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1897,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1898.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1898,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1898.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1898,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1898.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1898,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1898.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1898,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1898.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":1898,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1899.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1899,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1899.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1899,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1899.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1899,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1899.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1899,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1899.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":1899,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1900.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1900,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1900.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1900,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1900.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1900,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1900.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1900,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1900.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1900,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1901.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1901,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1901.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1901,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1901.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1901,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1901.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1901,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1901.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1901,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1902.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1902,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1902.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1902,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1902.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1902,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1902.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1902,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1902.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":1902,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1903.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1903,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1903.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1903,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1903.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1903,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1903.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1903,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1903.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1903,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1904.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1904,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1904.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1904,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1904.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1904,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1904.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1904,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1904.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1904,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1905.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1905,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1905.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1905,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1905.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1905,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1905.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1905,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1905.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":1905,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1906.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1906,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1906.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1906,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1906.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1906,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1906.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1906,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1906.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1906,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1907.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1907,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1907.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1907,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1907.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1907,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1907.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1907,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1907.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":1907,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1908.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1908,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1908.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1908,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1908.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1908,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1908.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1908,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1908.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1908,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1909.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1909,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1909.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1909,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1909.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1909,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1909.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1909,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1909.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1909,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1910.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1910,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1910.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1910,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1910.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1910,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1910.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1910,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1910.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":1910,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1911.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":17,\"seed\":1911,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1911.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":17,\"seed\":1911,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1911.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":17,\"seed\":1911,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1911.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":17,\"seed\":1911,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1911.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":17,\"seed\":1911,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1912.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1912,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1912.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1912,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1912.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1912,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1912.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1912,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1912.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1912,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1913.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1913,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1913.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1913,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1913.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1913,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1913.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1913,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1913.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1913,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1914.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1914,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1914.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1914,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1914.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1914,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1914.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1914,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1914.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":1914,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1915.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1915,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1915.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1915,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1915.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1915,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1915.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1915,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1915.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":1915,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1916.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1916,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1916.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1916,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1916.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1916,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1916.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1916,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1916.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1916,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1917.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":1917,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1917.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":1917,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1917.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":1917,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1917.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":1917,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1917.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":11,\"seed\":1917,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1918.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1918,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1918.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1918,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1918.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1918,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1918.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1918,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1918.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1918,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1919.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1919,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1919.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1919,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1919.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1919,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1919.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1919,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1919.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":1919,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1920.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1920,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1920.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1920,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1920.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1920,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1920.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1920,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1920.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":1920,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1921.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1921,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1921.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1921,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1921.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1921,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1921.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1921,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1921.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1921,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1922.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1922,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1922.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1922,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1922.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1922,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1922.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1922,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1922.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":1922,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1923.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1923,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1923.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1923,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1923.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1923,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1923.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1923,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1923.png","prompt":"If the walkable tile marked with a purple X at axial position (5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":1923,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1924.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1924,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1924.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1924,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1924.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1924,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1924.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1924,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1924.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1924,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1925.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1925,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1925.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1925,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1925.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1925,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1925.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1925,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1925.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":1925,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1926.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1926,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1926.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1926,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1926.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1926,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1926.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1926,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1926.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1926,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1927.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1927,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1927.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1927,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1927.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1927,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1927.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1927,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1927.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1927,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1928.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":16,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1928,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1928.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":16,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1928,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1928.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":16,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1928,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1928.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":16,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1928,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1928.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 16 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":16,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1928,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1929.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1929,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1929.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1929,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1929.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1929,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1929.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1929,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1929.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":1929,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1930.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1930,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1930.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1930,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1930.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1930,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1930.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1930,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1930.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1930,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1931.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1931,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1931.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1931,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1931.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1931,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1931.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1931,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1931.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":1931,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1932.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1932,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1932.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1932,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1932.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1932,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1932.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1932,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1932.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1932,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1933.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1933,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1933.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1933,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1933.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1933,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1933.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1933,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1933.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1933,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1934.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1934,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1934.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1934,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1934.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1934,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1934.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1934,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1934.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":1934,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1935.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":15,\"seed\":1935,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1935.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":15,\"seed\":1935,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1935.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":15,\"seed\":1935,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1935.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (34)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":15,\"seed\":1935,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1935.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":15,\"seed\":1935,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1936.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1936,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1936.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1936,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1936.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1936,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1936.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1936,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1936.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1936,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1937.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1937,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1937.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1937,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1937.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1937,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1937.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1937,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1937.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1937,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1938.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":1938,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1938.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":1938,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1938.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":1938,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1938.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":1938,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1938.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":19,\"seed\":1938,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1939.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1939,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1939.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1939,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1939.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1939,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1939.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1939,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1939.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":1939,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1940.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1940,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1940.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1940,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1940.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1940,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1940.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1940,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1940.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1940,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1941.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1941,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1941.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1941,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1941.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1941,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1941.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1941,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1941.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":1941,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1942.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1942,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1942.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1942,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1942.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1942,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1942.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1942,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1942.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1942,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1943.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1943,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1943.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1943,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1943.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1943,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1943.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1943,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1943.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1943,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1944.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":1944,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1944.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":1944,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1944.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":1944,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1944.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":1944,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1944.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":1944,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1945.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1945,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1945.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1945,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1945.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1945,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1945.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1945,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1945.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1945,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1946.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1946,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1946.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1946,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1946.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1946,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1946.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1946,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1946.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":1946,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1947.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1947,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1947.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1947,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1947.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1947,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1947.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1947,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1947.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":1947,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1948.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1948,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1948.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1948,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1948.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1948,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1948.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1948,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1948.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":1948,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1949.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1949,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1949.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1949,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1949.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1949,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1949.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1949,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1949.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1949,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1950.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":1950,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1950.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":1950,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1950.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":1950,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1950.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":1950,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1950.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":1950,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1951.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1951,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1951.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1951,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1951.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1951,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1951.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1951,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1951.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1951,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1952.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1952,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1952.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1952,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1952.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1952,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1952.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1952,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1952.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":1952,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1953.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1953,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1953.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1953,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1953.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1953,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1953.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1953,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1953.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":1953,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1954.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1954,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1954.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1954,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1954.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1954,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1954.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1954,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1954.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1954,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1955.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1955,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1955.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1955,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1955.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1955,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1955.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1955,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1955.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":1955,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1956.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1956,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1956.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1956,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1956.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1956,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1956.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1956,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1956.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":1956,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1957.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1957,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1957.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1957,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1957.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1957,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1957.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1957,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1957.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1957,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1958.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1958,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1958.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1958,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1958.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1958,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1958.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1958,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1958.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1958,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1959.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1959,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1959.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1959,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1959.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1959,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1959.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1959,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1959.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":1959,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1960.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1960,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1960.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1960,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1960.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1960,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1960.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1960,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1960.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":1960,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1961.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1961,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1961.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1961,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1961.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1961,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1961.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1961,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1961.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":1961,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1962.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1962,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1962.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1962,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1962.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1962,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1962.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1962,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1962.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":1962,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_1963.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1963,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1963.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1963,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1963.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1963,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1963.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1963,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1963.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":1963,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1964.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1964,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1964.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1964,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1964.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1964,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1964.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1964,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1964.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":1964,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1965.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1965,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1965.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1965,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1965.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1965,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1965.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1965,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1965.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":1965,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1966.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1966,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1966.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1966,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1966.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1966,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1966.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1966,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1966.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":1966,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1967.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1967,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1967.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1967,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1967.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1967,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1967.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1967,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1967.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1967,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1968.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1968,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1968.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1968,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1968.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1968,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1968.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1968,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1968.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":1968,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1969.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1969,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1969.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1969,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1969.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1969,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1969.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1969,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1969.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":1969,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1970.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1970,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1970.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1970,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1970.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1970,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1970.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1970,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1970.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1970,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1971.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1971,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1971.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1971,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1971.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1971,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1971.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1971,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1971.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":1971,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1972.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":1972,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1972.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":1972,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1972.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":1972,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1972.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":1972,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1972.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":1972,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1973.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1973,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1973.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1973,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1973.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1973,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1973.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1973,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1973.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":1973,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1974.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1974,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1974.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1974,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1974.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1974,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1974.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1974,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1974.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":1974,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1975.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1975,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1975.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1975,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1975.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1975,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1975.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1975,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1975.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1975,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1976.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1976,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1976.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1976,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1976.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1976,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1976.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1976,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1976.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":1976,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1977.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":1977,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1977.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":1977,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1977.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":1977,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1977.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":1977,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1977.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":20,\"seed\":1977,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_1978.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1978,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1978.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1978,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1978.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1978,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1978.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1978,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1978.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":1978,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1979.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1979,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1979.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1979,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1979.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1979,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1979.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1979,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1979.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":1979,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1980.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1980,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1980.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1980,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1980.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1980,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1980.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1980,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1980.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":1980,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_1981.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1981,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1981.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1981,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1981.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1981,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1981.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1981,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1981.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":1981,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1982.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1982,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1982.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1982,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1982.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1982,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1982.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1982,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1982.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":1982,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1983.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1983,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1983.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1983,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1983.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1983,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1983.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1983,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1983.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":1983,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1984.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1984,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1984.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1984,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1984.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1984,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1984.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1984,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1984.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1984,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1985.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1985,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1985.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1985,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1985.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1985,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1985.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1985,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1985.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1985,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_1986.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1986,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1986.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1986,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1986.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1986,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1986.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1986,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1986.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":1986,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1987.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1987,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1987.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1987,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1987.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1987,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1987.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1987,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1987.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":1987,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_1988.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1988,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1988.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1988,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1988.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1988,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1988.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1988,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1988.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":1988,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1989.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1989,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1989.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1989,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1989.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1989,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1989.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1989,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1989.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":1989,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_1990.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1990,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1990.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1990,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1990.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1990,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1990.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1990,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1990.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":1990,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1991.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1991,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1991.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1991,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1991.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1991,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1991.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1991,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1991.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":1991,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1992.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":20,\"seed\":1992,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1992.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":20,\"seed\":1992,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1992.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":20,\"seed\":1992,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1992.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (27)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":20,\"seed\":1992,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1992.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":20,\"seed\":1992,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_1993.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1993,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1993.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1993,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1993.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1993,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1993.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1993,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1993.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":8,\"seed\":1993,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1994.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1994,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1994.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1994,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1994.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1994,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1994.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1994,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1994.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":1994,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1995.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1995,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1995.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1995,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1995.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1995,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1995.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1995,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1995.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":15,\"seed\":1995,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1996.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1996,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1996.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1996,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1996.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1996,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1996.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1996,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1996.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":1996,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_1997.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1997,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1997.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1997,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1997.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1997,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1997.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1997,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1997.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":1997,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_1998.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1998,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1998.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1998,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1998.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1998,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1998.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1998,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1998.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":1998,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_1999.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1999,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_1999.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1999,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_1999.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1999,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_1999.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1999,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_1999.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":1999,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2000.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2000,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2000.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2000,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2000.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2000,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2000.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2000,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2000.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2000,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2001.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2001,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2001.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2001,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2001.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2001,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2001.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2001,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2001.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2001,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2002.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2002,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2002.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2002,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2002.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2002,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2002.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2002,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2002.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2002,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2003.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2003,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2003.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2003,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2003.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2003,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2003.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2003,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2003.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2003,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2004.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2004,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2004.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2004,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2004.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2004,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2004.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2004,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2004.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2004,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2005.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2005,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2005.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2005,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2005.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2005,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2005.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2005,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2005.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2005,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2006.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2006,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2006.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2006,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2006.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2006,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2006.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2006,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2006.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2006,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2007.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2007,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2007.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2007,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2007.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2007,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2007.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2007,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2007.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2007,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2008.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2008,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2008.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2008,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2008.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2008,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2008.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2008,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2008.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2008,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2009.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2009,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2009.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2009,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2009.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2009,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2009.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2009,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2009.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2009,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2010.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2010,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2010.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2010,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2010.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2010,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2010.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2010,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2010.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2010,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2011.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2011,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2011.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2011,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2011.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2011,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2011.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2011,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2011.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2011,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2012.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2012,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2012.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2012,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2012.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2012,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2012.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2012,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2012.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2012,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2013.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2013,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2013.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2013,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2013.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2013,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2013.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2013,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2013.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2013,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2014.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2014,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2014.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2014,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2014.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2014,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2014.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2014,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2014.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2014,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2015.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2015,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2015.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2015,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2015.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2015,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2015.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2015,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2015.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2015,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2016.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2016,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2016.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2016,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2016.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2016,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2016.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2016,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2016.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2016,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2017.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2017,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2017.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2017,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2017.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2017,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2017.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2017,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2017.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2017,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2018.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2018,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2018.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2018,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2018.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2018,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2018.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2018,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2018.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2018,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2019.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2019,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2019.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2019,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2019.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2019,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2019.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2019,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2019.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2019,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2020.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2020,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2020.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2020,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2020.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2020,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2020.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2020,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2020.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2020,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2021.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2021,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2021.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2021,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2021.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2021,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2021.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2021,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2021.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2021,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2022.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2022,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2022.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2022,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2022.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2022,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2022.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2022,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2022.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2022,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2023.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2023,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2023.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2023,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2023.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2023,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2023.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2023,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2023.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2023,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2024.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2024,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2024.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2024,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2024.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2024,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2024.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2024,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2024.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2024,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2025.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":2025,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2025.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":2025,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2025.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":2025,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2025.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":2025,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2025.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":16,\"seed\":2025,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2026.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2026,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2026.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2026,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2026.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2026,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2026.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2026,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2026.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2026,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2027.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2027,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2027.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2027,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2027.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2027,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2027.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2027,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2027.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2027,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2028.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":14,\"seed\":2028,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2028.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":14,\"seed\":2028,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2028.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":14,\"seed\":2028,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2028.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":14,\"seed\":2028,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2028.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":14,\"seed\":2028,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2029.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2029,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2029.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2029,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2029.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2029,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2029.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2029,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2029.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2029,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2030.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2030,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2030.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2030,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2030.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2030,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2030.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2030,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2030.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2030,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2031.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2031,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2031.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2031,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2031.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2031,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2031.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2031,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2031.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2031,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2032.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2032,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2032.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2032,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2032.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2032,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2032.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2032,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2032.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2032,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2033.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2033,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2033.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2033,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2033.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2033,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2033.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2033,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2033.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":8,\"seed\":2033,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2034.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2034,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2034.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2034,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2034.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2034,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2034.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2034,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2034.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2034,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2035.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2035,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2035.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2035,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2035.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2035,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2035.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2035,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2035.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2035,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2036.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2036,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2036.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2036,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2036.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2036,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2036.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2036,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2036.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2036,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2037.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2037,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2037.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2037,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2037.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2037,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2037.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2037,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2037.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2037,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2038.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":2038,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2038.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":2038,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2038.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":2038,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2038.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":2038,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2038.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":5,\"seed\":2038,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2039.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2039,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2039.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2039,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2039.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2039,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2039.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2039,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2039.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2039,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2040.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2040,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2040.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2040,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2040.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2040,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2040.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2040,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2040.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2040,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2041.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2041,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2041.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2041,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2041.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2041,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2041.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2041,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2041.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2041,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2042.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2042,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2042.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2042,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2042.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2042,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2042.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2042,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2042.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2042,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2043.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2043,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2043.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2043,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2043.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2043,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2043.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2043,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2043.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2043,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2044.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2044,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2044.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2044,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2044.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2044,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2044.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2044,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2044.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2044,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2045.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":2045,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2045.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":2045,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2045.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":2045,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2045.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":2045,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2045.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":8,\"seed\":2045,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2046.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":17,\"seed\":2046,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2046.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":17,\"seed\":2046,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2046.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":17,\"seed\":2046,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2046.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (22)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":17,\"seed\":2046,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2046.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":22,\"num_hole_tiles\":17,\"seed\":2046,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2047.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2047,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2047.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2047,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2047.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2047,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2047.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2047,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2047.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2047,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2048.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2048,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2048.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2048,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2048.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2048,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2048.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2048,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2048.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2048,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2049.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":2049,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2049.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":2049,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2049.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":2049,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2049.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":2049,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2049.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":15,\"seed\":2049,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2050.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2050,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2050.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2050,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2050.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2050,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2050.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2050,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2050.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2050,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2051.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2051,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2051.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2051,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2051.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2051,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2051.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2051,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2051.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2051,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2052.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2052,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2052.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2052,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2052.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2052,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2052.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2052,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2052.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2052,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2053.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2053,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2053.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2053,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2053.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2053,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2053.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2053,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2053.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2053,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2054.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2054,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2054.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2054,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2054.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2054,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2054.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2054,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2054.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2054,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2055.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2055,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2055.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2055,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2055.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2055,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2055.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2055,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2055.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2055,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2056.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2056,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2056.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2056,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2056.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2056,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2056.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2056,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2056.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2056,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2057.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2057,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2057.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2057,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2057.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2057,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2057.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2057,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2057.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2057,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2058.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":22,\"seed\":2058,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2058.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":22,\"seed\":2058,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2058.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":22,\"seed\":2058,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2058.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":22,\"seed\":2058,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2058.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":22,\"seed\":2058,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2059.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2059,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2059.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2059,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2059.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2059,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2059.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2059,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2059.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2059,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2060.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2060,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2060.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2060,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2060.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2060,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2060.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2060,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2060.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2060,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2061.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2061,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2061.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2061,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2061.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2061,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2061.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2061,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2061.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2061,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2062.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2062,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2062.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2062,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2062.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2062,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2062.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2062,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2062.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2062,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2063.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2063,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2063.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2063,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2063.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2063,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2063.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2063,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2063.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2063,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2064.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2064,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2064.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2064,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2064.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2064,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2064.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2064,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2064.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2064,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2065.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2065,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2065.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2065,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2065.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2065,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2065.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2065,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2065.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2065,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2066.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2066,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2066.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2066,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2066.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2066,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2066.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2066,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2066.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2066,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2067.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2067,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2067.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2067,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2067.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2067,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2067.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2067,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2067.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2067,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2068.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2068,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2068.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2068,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2068.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2068,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2068.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2068,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2068.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2068,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2069.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2069,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2069.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2069,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2069.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2069,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2069.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2069,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2069.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2069,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2070.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2070,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2070.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2070,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2070.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2070,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2070.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2070,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2070.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2070,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2071.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2071,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2071.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2071,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2071.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2071,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2071.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2071,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2071.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2071,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2072.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2072,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2072.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2072,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2072.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2072,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2072.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2072,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2072.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2072,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2073.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2073,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2073.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2073,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2073.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2073,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2073.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2073,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2073.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2073,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2074.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2074,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2074.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2074,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2074.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2074,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2074.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2074,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2074.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2074,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2075.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2075,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2075.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2075,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2075.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2075,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2075.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2075,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2075.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2075,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2076.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2076,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2076.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2076,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2076.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2076,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2076.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2076,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2076.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2076,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2077.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2077,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2077.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2077,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2077.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2077,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2077.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2077,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2077.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2077,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2078.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2078,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2078.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2078,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2078.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2078,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2078.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2078,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2078.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2078,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2079.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2079,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2079.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2079,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2079.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2079,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2079.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2079,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2079.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2079,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2080.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2080,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2080.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2080,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2080.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2080,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2080.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2080,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2080.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2080,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2081.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2081,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2081.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2081,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2081.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2081,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2081.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2081,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2081.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2081,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2082.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2082,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2082.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2082,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2082.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2082,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2082.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2082,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2082.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2082,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2083.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2083,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2083.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2083,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2083.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2083,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2083.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2083,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2083.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2083,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2084.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2084,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2084.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2084,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2084.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2084,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2084.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2084,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2084.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2084,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2085.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2085,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2085.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2085,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2085.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2085,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2085.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2085,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2085.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2085,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2086.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2086,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2086.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2086,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2086.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2086,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2086.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2086,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2086.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2086,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2087.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2087,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2087.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2087,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2087.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2087,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2087.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2087,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2087.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2087,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2088.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2088,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2088.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2088,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2088.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2088,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2088.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2088,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2088.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2088,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2089.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2089,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2089.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2089,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2089.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2089,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2089.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2089,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2089.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2089,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2090.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":14,\"seed\":2090,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2090.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":14,\"seed\":2090,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2090.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":14,\"seed\":2090,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2090.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":14,\"seed\":2090,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2090.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":14,\"seed\":2090,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2091.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2091,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2091.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2091,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2091.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2091,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2091.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2091,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2091.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2091,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2092.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2092,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2092.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2092,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2092.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2092,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2092.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2092,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2092.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2092,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2093.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2093,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2093.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2093,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2093.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2093,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2093.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2093,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2093.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2093,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2094.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2094,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2094.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2094,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2094.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2094,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2094.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2094,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2094.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2094,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2095.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2095,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2095.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2095,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2095.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2095,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2095.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2095,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2095.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2095,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2096.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2096,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2096.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2096,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2096.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2096,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2096.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2096,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2096.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2096,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2097.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2097,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2097.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2097,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2097.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2097,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2097.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2097,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2097.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2097,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2098.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2098,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2098.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2098,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2098.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2098,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2098.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2098,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2098.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2098,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2099.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2099,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2099.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2099,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2099.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2099,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2099.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2099,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2099.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2099,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2100.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2100,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2100.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2100,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2100.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2100,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2100.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2100,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2100.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2100,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2101.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2101,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2101.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2101,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2101.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2101,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2101.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2101,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2101.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2101,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2102.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2102,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2102.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2102,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2102.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2102,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2102.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2102,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2102.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2102,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2103.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2103,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2103.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2103,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2103.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2103,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2103.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2103,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2103.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2103,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2104.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2104,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2104.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2104,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2104.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2104,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2104.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2104,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2104.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2104,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2105.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2105,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2105.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2105,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2105.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2105,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2105.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2105,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2105.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2105,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2106.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":21,\"seed\":2106,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2106.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":21,\"seed\":2106,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2106.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":21,\"seed\":2106,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2106.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":21,\"seed\":2106,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2106.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":21,\"seed\":2106,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2107.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2107,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2107.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2107,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2107.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2107,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2107.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2107,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2107.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2107,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2108.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2108,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2108.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2108,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2108.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2108,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2108.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2108,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2108.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2108,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2109.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2109,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2109.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2109,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2109.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2109,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2109.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2109,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2109.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2109,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2110.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2110,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2110.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2110,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2110.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2110,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2110.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2110,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2110.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2110,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2111.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2111,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2111.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2111,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2111.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2111,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2111.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2111,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2111.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2111,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2112.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2112,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2112.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2112,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2112.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2112,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2112.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2112,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2112.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2112,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2113.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2113,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2113.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2113,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2113.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2113,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2113.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2113,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2113.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2113,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2114.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2114,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2114.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2114,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2114.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2114,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2114.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2114,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2114.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2114,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2115.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2115,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2115.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2115,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2115.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2115,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2115.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2115,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2115.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2115,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2116.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2116,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2116.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2116,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2116.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2116,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2116.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2116,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2116.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2116,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2117.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2117,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2117.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2117,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2117.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2117,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2117.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2117,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2117.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2117,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2118.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":2118,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2118.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":2118,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2118.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":2118,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2118.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":2118,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2118.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":16,\"seed\":2118,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2119.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2119,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2119.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2119,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2119.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2119,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2119.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2119,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2119.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2119,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2120.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":2120,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2120.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":2120,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2120.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":2120,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2120.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":2120,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2120.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":9,\"seed\":2120,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2121.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2121,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2121.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2121,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2121.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2121,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2121.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2121,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2121.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2121,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2122.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2122,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2122.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2122,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2122.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2122,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2122.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2122,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2122.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2122,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2123.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2123,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2123.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2123,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2123.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2123,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2123.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2123,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2123.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2123,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2124.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2124,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2124.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2124,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2124.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2124,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2124.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2124,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2124.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2124,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2125.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2125,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2125.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2125,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2125.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2125,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2125.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2125,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2125.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2125,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2126.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2126,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2126.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2126,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2126.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2126,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2126.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2126,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2126.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2126,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2127.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2127,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2127.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2127,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2127.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2127,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2127.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2127,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2127.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2127,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2128.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2128,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2128.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2128,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2128.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2128,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2128.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2128,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2128.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2128,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2129.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2129,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2129.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2129,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2129.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2129,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2129.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2129,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2129.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2129,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2130.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2130,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2130.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2130,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2130.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2130,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2130.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2130,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2130.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2130,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2131.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2131,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2131.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2131,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2131.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2131,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2131.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2131,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2131.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2131,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2132.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2132,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2132.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2132,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2132.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2132,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2132.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2132,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2132.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2132,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2133.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":2133,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2133.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":2133,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2133.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":2133,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2133.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":2133,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2133.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":12,\"seed\":2133,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2134.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2134,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2134.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2134,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2134.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2134,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2134.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2134,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2134.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2134,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2135.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2135,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2135.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2135,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2135.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2135,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2135.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2135,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2135.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2135,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2136.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2136,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2136.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2136,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2136.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2136,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2136.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2136,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2136.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2136,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2137.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2137,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2137.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2137,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2137.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2137,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2137.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2137,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2137.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2137,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2138.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2138,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2138.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2138,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2138.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2138,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2138.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2138,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2138.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2138,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2139.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":2139,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2139.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":2139,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2139.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":2139,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2139.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (23)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":2139,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2139.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":23,\"num_hole_tiles\":13,\"seed\":2139,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2140.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2140,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2140.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2140,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2140.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2140,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2140.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2140,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2140.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2140,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2141.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2141,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2141.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2141,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2141.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2141,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2141.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2141,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2141.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2141,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2142.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2142,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2142.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2142,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2142.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2142,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2142.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2142,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2142.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2142,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2143.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2143,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2143.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2143,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2143.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2143,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2143.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2143,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2143.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2143,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2144.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2144,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2144.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2144,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2144.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2144,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2144.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2144,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2144.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2144,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2145.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":14,\"seed\":2145,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2145.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":14,\"seed\":2145,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2145.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":14,\"seed\":2145,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2145.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (50)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":14,\"seed\":2145,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2145.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":50,\"num_hole_tiles\":14,\"seed\":2145,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2146.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2146,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2146.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2146,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2146.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2146,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2146.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2146,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2146.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2146,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2147.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2147,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2147.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2147,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2147.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2147,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2147.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2147,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2147.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2147,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2148.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2148,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2148.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2148,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2148.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2148,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2148.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2148,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2148.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2148,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2149.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":2149,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2149.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":2149,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2149.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":2149,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2149.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":2149,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2149.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":7,\"seed\":2149,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2150.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2150,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2150.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2150,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2150.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2150,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2150.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2150,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2150.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2150,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2151.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2151,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2151.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2151,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2151.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2151,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2151.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2151,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2151.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2151,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2152.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2152,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2152.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2152,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2152.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2152,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2152.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2152,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2152.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":8,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2152,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2153.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2153,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2153.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2153,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2153.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2153,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2153.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2153,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2153.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2153,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2154.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2154,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2154.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2154,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2154.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2154,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2154.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2154,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2154.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2154,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2155.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2155,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2155.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2155,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2155.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2155,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2155.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2155,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2155.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2155,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2156.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2156,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2156.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2156,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2156.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2156,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2156.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2156,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2156.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2156,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2157.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2157,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2157.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2157,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2157.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2157,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2157.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2157,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2157.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2157,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2158.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2158,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2158.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2158,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2158.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2158,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2158.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2158,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2158.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2158,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2159.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2159,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2159.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2159,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2159.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2159,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2159.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2159,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2159.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2159,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2160.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2160,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2160.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2160,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2160.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2160,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2160.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2160,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2160.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2160,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2161.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2161,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2161.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2161,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2161.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2161,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2161.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2161,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2161.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2161,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2162.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2162,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2162.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2162,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2162.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2162,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2162.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2162,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2162.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2162,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2163.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2163,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2163.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2163,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2163.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2163,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2163.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2163,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2163.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2163,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2164.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2164,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2164.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2164,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2164.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2164,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2164.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2164,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2164.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2164,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2165.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2165,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2165.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2165,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2165.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2165,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2165.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2165,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2165.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2165,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2166.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":2166,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2166.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":2166,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2166.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":2166,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2166.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":2166,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2166.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":18,\"seed\":2166,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2167.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2167,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2167.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2167,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2167.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2167,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2167.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2167,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2167.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2167,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2168.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2168,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2168.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2168,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2168.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2168,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2168.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2168,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2168.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2168,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2169.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2169,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2169.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2169,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2169.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2169,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2169.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2169,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2169.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2169,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2170.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2170,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2170.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2170,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2170.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2170,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2170.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2170,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2170.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2170,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2171.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2171,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2171.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2171,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2171.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2171,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2171.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2171,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2171.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2171,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2172.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2172,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2172.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2172,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2172.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2172,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2172.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2172,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2172.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2172,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2173.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2173,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2173.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2173,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2173.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2173,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2173.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2173,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2173.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2173,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2174.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2174,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2174.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2174,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2174.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2174,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2174.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2174,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2174.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2174,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2175.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2175,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2175.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2175,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2175.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2175,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2175.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2175,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2175.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":11,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2175,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2176.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2176,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2176.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2176,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2176.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2176,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2176.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2176,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2176.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2176,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2177.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2177,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2177.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2177,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2177.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2177,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2177.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2177,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2177.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2177,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2178.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2178,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2178.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2178,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2178.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2178,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2178.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2178,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2178.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7015,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":21,\"seed\":2178,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2179.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2179,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2179.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2179,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2179.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2179,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2179.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2179,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2179.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2179,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2180.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2180,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2180.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2180,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2180.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2180,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2180.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2180,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2180.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 13 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2180,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2181.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":2181,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2181.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":2181,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2181.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":2181,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2181.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":2181,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2181.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":19,\"seed\":2181,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_2182.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2182,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2182.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2182,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2182.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2182,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2182.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2182,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2182.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2182,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2183.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2183,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2183.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2183,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2183.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2183,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2183.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2183,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2183.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2183,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2184.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2184,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2184.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2184,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2184.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2184,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2184.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2184,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2184.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2184,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2185.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2185,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2185.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2185,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2185.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2185,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2185.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2185,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2185.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2185,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2186.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2186,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2186.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2186,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2186.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2186,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2186.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2186,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2186.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2186,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2187.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2187,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2187.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2187,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2187.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2187,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2187.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2187,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2187.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2187,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2188.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2188,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2188.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2188,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2188.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2188,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2188.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2188,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2188.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2188,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2189.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2189,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2189.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2189,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2189.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2189,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2189.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2189,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2189.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2189,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2190.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2190,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2190.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2190,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2190.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2190,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2190.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2190,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2190.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":9,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2190,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2191.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2191,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2191.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2191,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2191.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2191,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2191.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2191,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2191.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2191,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2192.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2192,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2192.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2192,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2192.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2192,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2192.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2192,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2192.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2192,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2193.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":2193,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2193.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":2193,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2193.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":2193,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2193.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":2193,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2193.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":20,\"seed\":2193,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2194.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2194,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2194.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2194,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2194.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2194,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2194.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2194,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2194.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2194,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2195.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2195,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2195.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2195,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2195.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2195,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2195.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2195,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2195.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2195,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2196.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":2196,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2196.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":2196,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2196.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":2196,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2196.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":2196,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2196.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":18,\"seed\":2196,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2197.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2197,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2197.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2197,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2197.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2197,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2197.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2197,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2197.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2197,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2198.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2198,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2198.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2198,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2198.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2198,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2198.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2198,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2198.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2198,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2199.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2199,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2199.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2199,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2199.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2199,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2199.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2199,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2199.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2199,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2200.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2200,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2200.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2200,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2200.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2200,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2200.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2200,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2200.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2200,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2201.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2201,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2201.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2201,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2201.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2201,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2201.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2201,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2201.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2201,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2202.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2202,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2202.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2202,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2202.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2202,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2202.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2202,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2202.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2202,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2203.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2203,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2203.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2203,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2203.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2203,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2203.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2203,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2203.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2203,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2204.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2204,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2204.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2204,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2204.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2204,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2204.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2204,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2204.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2204,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2205.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2205,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2205.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2205,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2205.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2205,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2205.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2205,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2205.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2205,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2206.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2206,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2206.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2206,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2206.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2206,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2206.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2206,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2206.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2206,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2207.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2207,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2207.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2207,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2207.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2207,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2207.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2207,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2207.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2207,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2208.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":2208,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2208.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":2208,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2208.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":2208,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2208.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":2208,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2208.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.7035,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":22,\"seed\":2208,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2209.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2209,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2209.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2209,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2209.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2209,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2209.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2209,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2209.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2209,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2210.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2210,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2210.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2210,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2210.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2210,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2210.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2210,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2210.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2210,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2211.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2211,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2211.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2211,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2211.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2211,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2211.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2211,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2211.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2211,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2212.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2212,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2212.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2212,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2212.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2212,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2212.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2212,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2212.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2212,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2213.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2213,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2213.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2213,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2213.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2213,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2213.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2213,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2213.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2213,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2214.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2214,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2214.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2214,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2214.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2214,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2214.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2214,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2214.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2214,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2215.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2215,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2215.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2215,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2215.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2215,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2215.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2215,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2215.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2215,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2216.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2216,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2216.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2216,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2216.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2216,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2216.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2216,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2216.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2216,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2217.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2217,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2217.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2217,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2217.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2217,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2217.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2217,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2217.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2217,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2218.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2218,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2218.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2218,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2218.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2218,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2218.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2218,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2218.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2218,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2219.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2219,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2219.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2219,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2219.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2219,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2219.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2219,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2219.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2219,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2220.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":21,\"seed\":2220,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2220.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":21,\"seed\":2220,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2220.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":21,\"seed\":2220,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2220.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":21,\"seed\":2220,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2220.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":21,\"seed\":2220,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2221.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2221,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2221.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2221,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2221.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2221,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2221.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2221,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2221.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2221,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2222.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2222,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2222.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2222,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2222.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2222,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2222.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2222,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2222.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2222,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2223.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2223,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2223.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2223,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2223.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2223,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2223.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2223,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2223.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2223,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2224.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2224,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2224.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2224,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2224.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2224,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2224.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2224,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2224.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2224,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2225.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2225,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2225.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2225,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2225.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2225,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2225.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2225,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2225.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2225,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2226.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2226,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2226.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2226,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2226.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2226,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2226.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2226,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2226.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2226,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2227.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2227,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2227.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2227,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2227.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2227,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2227.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2227,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2227.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2227,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2228.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2228,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2228.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2228,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2228.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2228,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2228.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2228,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2228.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2228,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2229.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2229,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2229.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2229,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2229.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2229,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2229.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2229,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2229.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2229,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2230.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2230,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2230.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2230,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2230.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2230,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2230.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2230,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2230.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2230,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2231.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2231,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2231.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2231,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2231.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2231,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2231.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2231,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2231.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2231,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2232.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2232,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2232.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2232,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2232.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2232,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2232.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2232,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2232.png","prompt":"If the walkable tile marked with a purple X at axial position (0,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2232,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2233.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2233,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2233.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2233,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2233.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2233,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2233.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2233,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2233.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2233,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2234.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2234,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2234.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2234,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2234.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2234,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2234.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2234,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2234.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2234,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2235.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2235,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2235.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2235,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2235.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2235,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2235.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2235,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2235.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":13,\"seed\":2235,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2236.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2236,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2236.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2236,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2236.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2236,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2236.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2236,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2236.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2236,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2237.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2237,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2237.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2237,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2237.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2237,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2237.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2237,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2237.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2237,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2238.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":2238,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2238.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":2238,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2238.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":2238,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2238.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":2238,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2238.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":21,\"seed\":2238,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2239.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2239,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2239.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2239,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2239.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2239,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2239.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2239,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2239.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2239,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2240.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":2240,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2240.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":2240,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2240.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":2240,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2240.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":2240,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2240.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":12,\"seed\":2240,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2241.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2241,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2241.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2241,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2241.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2241,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2241.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2241,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2241.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2241,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2242.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2242,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2242.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2242,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2242.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2242,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2242.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2242,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2242.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2242,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2243.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2243,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2243.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2243,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2243.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2243,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2243.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2243,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2243.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2243,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2244.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2244,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2244.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2244,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2244.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2244,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2244.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2244,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2244.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2244,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2245.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2245,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2245.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2245,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2245.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2245,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2245.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2245,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2245.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2245,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2246.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2246,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2246.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2246,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2246.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2246,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2246.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2246,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2246.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2246,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2247.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2247,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2247.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2247,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2247.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2247,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2247.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2247,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2247.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2247,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2248.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2248,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2248.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2248,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2248.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2248,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2248.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2248,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2248.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2248,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2249.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2249,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2249.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2249,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2249.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2249,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2249.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2249,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2249.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2249,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2250.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2250,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2250.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2250,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2250.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2250,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2250.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2250,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2250.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2250,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2251.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2251,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2251.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2251,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2251.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2251,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2251.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2251,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2251.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2251,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2252.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2252,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2252.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2252,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2252.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2252,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2252.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2252,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2252.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2252,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2253.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2253,\"shortest_path_length\":14}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2253.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2253,\"shortest_path_length\":14}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2253.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2253,\"shortest_path_length\":14}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2253.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2253,\"shortest_path_length\":14}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2253.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2253,\"shortest_path_length\":14}"}
{"task":"Image Description","image":"hex_pathfinding_2254.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2254,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2254.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2254,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2254.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2254,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2254.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2254,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2254.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2254,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2255.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2255,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2255.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2255,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2255.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2255,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2255.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2255,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2255.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2255,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2256.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2256,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2256.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2256,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2256.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2256,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2256.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2256,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2256.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2256,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2257.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2257,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2257.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2257,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2257.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2257,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2257.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2257,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2257.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2257,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2258.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":2258,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2258.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":2258,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2258.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":2258,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2258.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":2258,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2258.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":10,\"seed\":2258,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2259.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2259,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2259.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2259,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2259.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2259,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2259.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2259,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2259.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2259,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2260.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2260,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2260.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2260,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2260.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2260,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2260.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2260,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2260.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2260,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2261.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2261,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2261.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2261,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2261.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2261,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2261.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2261,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2261.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2261,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2262.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2262,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2262.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2262,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2262.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2262,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2262.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2262,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2262.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":21,\"seed\":2262,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2263.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2263,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2263.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2263,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2263.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2263,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2263.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2263,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2263.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2263,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2264.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2264,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2264.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2264,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2264.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2264,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2264.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2264,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2264.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2264,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2265.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2265,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2265.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2265,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2265.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2265,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2265.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2265,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2265.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2265,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2266.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2266,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2266.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2266,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2266.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2266,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2266.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2266,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2266.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2266,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2267.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2267,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2267.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2267,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2267.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2267,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2267.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2267,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2267.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2267,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2268.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":16,\"seed\":2268,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2268.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":16,\"seed\":2268,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2268.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":16,\"seed\":2268,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2268.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":16,\"seed\":2268,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2268.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":16,\"seed\":2268,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2269.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2269,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2269.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2269,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2269.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2269,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2269.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2269,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2269.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2269,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2270.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2270,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2270.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2270,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2270.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2270,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2270.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2270,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2270.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2270,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2271.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2271,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2271.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2271,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2271.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2271,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2271.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2271,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2271.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2271,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2272.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2272,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2272.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2272,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2272.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2272,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2272.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2272,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2272.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2272,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2273.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2273,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2273.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2273,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2273.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2273,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2273.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2273,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2273.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2273,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2274.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2274,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2274.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2274,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2274.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2274,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2274.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2274,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2274.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2274,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2275.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2275,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2275.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2275,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2275.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2275,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2275.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2275,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2275.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2275,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2276.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2276,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2276.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2276,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2276.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2276,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2276.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2276,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2276.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2276,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2277.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2277,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2277.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2277,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2277.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2277,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2277.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2277,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2277.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":12,\"seed\":2277,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2278.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2278,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2278.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2278,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2278.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2278,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2278.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2278,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2278.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2278,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2279.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2279,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2279.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2279,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2279.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2279,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2279.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2279,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2279.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2279,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2280.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2280,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2280.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2280,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2280.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2280,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2280.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2280,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2280.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2280,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2281.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2281,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2281.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2281,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2281.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2281,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2281.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2281,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2281.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2281,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2282.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2282,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2282.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2282,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2282.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2282,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2282.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2282,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2282.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2282,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2283.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2283,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2283.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2283,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2283.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2283,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2283.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2283,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2283.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2283,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2284.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2284,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2284.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2284,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2284.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2284,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2284.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2284,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2284.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2284,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2285.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2285,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2285.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2285,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2285.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2285,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2285.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2285,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2285.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2285,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2286.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2286,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2286.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2286,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2286.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2286,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2286.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2286,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2286.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2286,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2287.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2287,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2287.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2287,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2287.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2287,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2287.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2287,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2287.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2287,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2288.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2288,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2288.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2288,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2288.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2288,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2288.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2288,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2288.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2288,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2289.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2289,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2289.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2289,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2289.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2289,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2289.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2289,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2289.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2289,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2290.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2290,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2290.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2290,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2290.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2290,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2290.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2290,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2290.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2290,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2291.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2291,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2291.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2291,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2291.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2291,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2291.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2291,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2291.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2291,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2292.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2292,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2292.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2292,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2292.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2292,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2292.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2292,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2292.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2292,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2293.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2293,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2293.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2293,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2293.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2293,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2293.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2293,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2293.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2293,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2294.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2294,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2294.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2294,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2294.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2294,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2294.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2294,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2294.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2294,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2295.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2295,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2295.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2295,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2295.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2295,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2295.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2295,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2295.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2295,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2296.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2296,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2296.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2296,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2296.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2296,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2296.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2296,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2296.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2296,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2297.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2297,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2297.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2297,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2297.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2297,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2297.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2297,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2297.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2297,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2298.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2298,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2298.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2298,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2298.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2298,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2298.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2298,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2298.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2298,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2299.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2299,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2299.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2299,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2299.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2299,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2299.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2299,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2299.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2299,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2300.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2300,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2300.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2300,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2300.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2300,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2300.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2300,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2300.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2300,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2301.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2301,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2301.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2301,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2301.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2301,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2301.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2301,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2301.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2301,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2302.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2302,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2302.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2302,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2302.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2302,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2302.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2302,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2302.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2302,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2303.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2303,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2303.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2303,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2303.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2303,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2303.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2303,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2303.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2303,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2304.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2304,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2304.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2304,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2304.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2304,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2304.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2304,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2304.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2304,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2305.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2305,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2305.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2305,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2305.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2305,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2305.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2305,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2305.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2305,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2306.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2306,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2306.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2306,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2306.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2306,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2306.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2306,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2306.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2306,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2307.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2307,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2307.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2307,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2307.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2307,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2307.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2307,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2307.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2307,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2308.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2308,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2308.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2308,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2308.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2308,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2308.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2308,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2308.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2308,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2309.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":10,\"seed\":2309,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2309.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":10,\"seed\":2309,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2309.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":10,\"seed\":2309,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2309.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":10,\"seed\":2309,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2309.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":10,\"seed\":2309,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2310.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2310,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2310.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2310,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2310.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2310,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2310.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2310,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2310.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2310,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2311.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2311,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2311.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2311,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2311.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2311,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2311.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2311,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2311.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2311,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2312.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":2312,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2312.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":2312,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2312.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":2312,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2312.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":2312,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2312.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":9,\"seed\":2312,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2313.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2313,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2313.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2313,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2313.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2313,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2313.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2313,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2313.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2313,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2314.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2314,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2314.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2314,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2314.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2314,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2314.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2314,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2314.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2314,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2315.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2315,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2315.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2315,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2315.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2315,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2315.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2315,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2315.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2315,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2316.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":2316,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2316.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":2316,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2316.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":2316,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2316.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":2316,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2316.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":21,\"seed\":2316,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2317.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2317,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2317.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2317,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2317.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2317,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2317.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2317,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2317.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2317,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2318.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2318,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2318.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2318,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2318.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2318,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2318.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2318,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2318.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2318,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2319.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":2319,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2319.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":2319,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2319.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":2319,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2319.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":2319,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2319.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":14,\"seed\":2319,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2320.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2320,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2320.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2320,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2320.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2320,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2320.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2320,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2320.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2320,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2321.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2321,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2321.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2321,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2321.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2321,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2321.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2321,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2321.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":12,\"seed\":2321,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2322.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2322,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2322.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2322,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2322.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2322,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2322.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2322,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2322.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2322,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2323.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2323,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2323.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2323,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2323.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2323,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2323.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2323,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2323.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2323,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2324.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2324,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2324.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2324,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2324.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2324,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2324.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2324,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2324.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2324,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2325.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2325,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2325.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2325,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2325.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2325,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2325.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2325,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2325.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2325,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2326.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2326,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2326.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2326,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2326.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2326,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2326.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2326,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2326.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2326,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2327.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2327,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2327.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2327,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2327.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2327,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2327.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2327,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2327.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2327,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2328.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2328,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2328.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2328,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2328.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2328,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2328.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2328,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2328.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2328,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2329.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2329,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2329.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2329,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2329.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2329,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2329.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2329,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2329.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2329,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2330.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2330,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2330.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2330,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2330.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2330,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2330.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2330,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2330.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2330,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2331.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2331,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2331.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2331,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2331.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2331,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2331.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2331,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2331.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2331,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2332.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2332,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2332.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2332,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2332.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2332,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2332.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2332,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2332.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2332,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2333.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2333,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2333.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2333,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2333.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2333,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2333.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2333,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2333.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2333,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2334.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2334,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2334.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2334,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2334.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2334,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2334.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2334,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2334.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2334,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2335.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2335,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2335.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2335,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2335.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2335,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2335.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2335,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2335.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2335,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2336.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2336,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2336.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2336,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2336.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2336,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2336.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2336,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2336.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2336,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2337.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2337,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2337.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2337,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2337.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2337,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2337.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2337,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2337.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2337,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2338.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2338,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2338.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2338,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2338.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2338,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2338.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2338,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2338.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2338,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2339.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2339,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2339.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2339,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2339.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2339,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2339.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2339,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2339.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2339,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2340.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2340,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2340.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2340,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2340.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2340,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2340.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2340,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2340.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2340,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2341.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2341,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2341.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2341,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2341.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2341,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2341.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2341,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2341.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2341,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2342.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2342,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2342.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2342,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2342.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2342,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2342.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2342,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2342.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2342,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2343.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2343,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2343.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2343,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2343.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2343,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2343.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2343,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2343.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2343,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2344.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2344,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2344.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2344,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2344.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2344,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2344.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2344,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2344.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2344,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2345.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2345,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2345.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2345,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2345.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2345,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2345.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2345,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2345.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2345,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2346.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":2346,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2346.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":2346,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2346.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":2346,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2346.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (27)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":2346,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2346.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":27,\"num_hole_tiles\":14,\"seed\":2346,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2347.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2347,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2347.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2347,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2347.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2347,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2347.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2347,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2347.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2347,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2348.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2348,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2348.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2348,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2348.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2348,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2348.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2348,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2348.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2348,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2349.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2349,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2349.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2349,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2349.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2349,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2349.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2349,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2349.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":13,\"seed\":2349,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2350.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2350,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2350.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2350,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2350.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2350,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2350.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2350,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2350.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2350,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2351.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2351,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2351.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2351,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2351.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2351,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2351.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2351,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2351.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2351,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2352.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2352,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2352.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2352,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2352.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2352,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2352.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2352,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2352.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2352,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2353.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2353,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2353.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2353,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2353.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2353,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2353.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2353,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2353.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":6,\"seed\":2353,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2354.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":2354,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2354.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":2354,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2354.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":2354,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2354.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":2354,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2354.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":11,\"seed\":2354,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2355.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2355,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2355.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2355,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2355.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2355,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2355.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2355,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2355.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2355,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2356.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2356,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2356.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2356,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2356.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2356,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2356.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2356,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2356.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2356,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2357.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2357,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2357.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2357,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2357.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2357,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2357.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2357,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2357.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2357,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2358.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2358,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2358.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2358,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2358.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2358,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2358.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2358,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2358.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2358,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2359.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2359,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2359.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2359,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2359.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2359,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2359.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2359,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2359.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2359,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2360.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2360,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2360.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2360,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2360.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2360,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2360.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2360,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2360.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2360,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2361.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2361,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2361.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2361,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2361.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2361,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2361.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2361,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2361.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2361,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2362.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2362,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2362.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2362,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2362.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2362,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2362.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2362,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2362.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2362,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2363.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2363,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2363.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2363,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2363.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2363,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2363.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2363,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2363.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2363,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2364.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2364,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2364.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2364,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2364.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2364,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2364.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2364,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2364.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":21,\"seed\":2364,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2365.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2365,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2365.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2365,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2365.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2365,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2365.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2365,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2365.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2365,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2366.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2366,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2366.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2366,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2366.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2366,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2366.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2366,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2366.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2366,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2367.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2367,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2367.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2367,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2367.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2367,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2367.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2367,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2367.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2367,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2368.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2368,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2368.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2368,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2368.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2368,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2368.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2368,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2368.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2368,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2369.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2369,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2369.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2369,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2369.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2369,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2369.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2369,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2369.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2369,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2370.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2370,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2370.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2370,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2370.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2370,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2370.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2370,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2370.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2370,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2371.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2371,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2371.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2371,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2371.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2371,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2371.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2371,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2371.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2371,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2372.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2372,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2372.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2372,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2372.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2372,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2372.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2372,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2372.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2372,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2373.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2373,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2373.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2373,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2373.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2373,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2373.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2373,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2373.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2373,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2374.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2374,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2374.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2374,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2374.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2374,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2374.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2374,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2374.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2374,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2375.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2375,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2375.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2375,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2375.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2375,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2375.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2375,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2375.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2375,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2376.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2376,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2376.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2376,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2376.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2376,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2376.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2376,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2376.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":13,\"seed\":2376,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2377.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2377,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2377.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2377,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2377.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2377,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2377.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2377,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2377.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2377,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2378.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2378,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2378.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2378,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2378.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2378,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2378.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2378,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2378.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2378,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2379.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2379,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2379.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2379,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2379.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2379,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2379.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2379,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2379.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2379,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2380.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2380,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2380.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2380,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2380.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2380,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2380.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2380,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2380.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2380,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2381.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2381,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2381.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2381,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2381.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2381,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2381.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2381,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2381.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2381,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2382.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2382,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2382.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2382,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2382.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2382,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2382.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2382,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2382.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2382,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2383.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2383,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2383.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2383,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2383.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2383,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2383.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2383,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2383.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2383,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2384.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2384,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2384.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2384,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2384.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2384,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2384.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2384,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2384.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2384,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2385.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2385,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2385.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2385,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2385.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2385,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2385.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2385,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2385.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2385,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2386.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2386,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2386.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2386,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2386.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2386,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2386.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2386,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2386.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2386,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2387.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2387,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2387.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2387,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2387.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2387,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2387.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2387,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2387.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2387,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2388.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2388,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2388.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2388,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2388.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2388,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2388.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2388,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2388.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2388,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2389.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":10,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2389,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2389.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":10,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2389,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2389.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":10,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2389,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2389.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":10,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2389,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2389.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":10,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2389,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2390.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2390,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2390.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2390,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2390.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2390,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2390.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2390,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2390.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2390,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2391.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":19,\"seed\":2391,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2391.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":19,\"seed\":2391,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2391.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":19,\"seed\":2391,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2391.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (34)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":19,\"seed\":2391,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2391.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":34,\"num_hole_tiles\":19,\"seed\":2391,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2392.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2392,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2392.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2392,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2392.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2392,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2392.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2392,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2392.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2392,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2393.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2393,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2393.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2393,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2393.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2393,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2393.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2393,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2393.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2393,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2394.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":2394,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2394.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":2394,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2394.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":2394,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2394.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":2394,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2394.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":21,\"seed\":2394,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2395.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2395,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2395.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2395,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2395.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2395,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2395.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2395,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2395.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2395,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2396.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2396,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2396.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2396,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2396.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2396,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2396.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2396,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2396.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2396,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2397.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":2397,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2397.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":2397,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2397.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":2397,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2397.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":2397,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2397.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":18,\"seed\":2397,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2398.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2398,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2398.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2398,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2398.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2398,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2398.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2398,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2398.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2398,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2399.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2399,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2399.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2399,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2399.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2399,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2399.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2399,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2399.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2399,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2400.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2400,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2400.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2400,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2400.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2400,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2400.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2400,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2400.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2400,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2401.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2401,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2401.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2401,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2401.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2401,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2401.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2401,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2401.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2401,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2402.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2402,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2402.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2402,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2402.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2402,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2402.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2402,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2402.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2402,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2403.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2403,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2403.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2403,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2403.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2403,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2403.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2403,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2403.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2403,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2404.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2404,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2404.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2404,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2404.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2404,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2404.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2404,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2404.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2404,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2405.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2405,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2405.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2405,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2405.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2405,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2405.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2405,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2405.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2405,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2406.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2406,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2406.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2406,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2406.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2406,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2406.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2406,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2406.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2406,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2407.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2407,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2407.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2407,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2407.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2407,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2407.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2407,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2407.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2407,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2408.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2408,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2408.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2408,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2408.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2408,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2408.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2408,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2408.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2408,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2409.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2409,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2409.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2409,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2409.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2409,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2409.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2409,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2409.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2409,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2410.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2410,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2410.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2410,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2410.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2410,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2410.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2410,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2410.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2410,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2411.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2411,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2411.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2411,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2411.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2411,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2411.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2411,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2411.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2411,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2412.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":2412,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2412.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":2412,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2412.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":2412,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2412.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":2412,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2412.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":19,\"seed\":2412,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2413.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":2413,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2413.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":2413,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2413.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":2413,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2413.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":2413,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2413.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":5,\"seed\":2413,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2414.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2414,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2414.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2414,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2414.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2414,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2414.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2414,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2414.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2414,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2415.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2415,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2415.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2415,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2415.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2415,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2415.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2415,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2415.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2415,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2416.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2416,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2416.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2416,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2416.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2416,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2416.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2416,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2416.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2416,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2417.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2417,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2417.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2417,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2417.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2417,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2417.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2417,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2417.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2417,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2418.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2418,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2418.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2418,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2418.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2418,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2418.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2418,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2418.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2418,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2419.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2419,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2419.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2419,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2419.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2419,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2419.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2419,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2419.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2419,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2420.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2420,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2420.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2420,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2420.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2420,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2420.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2420,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2420.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2420,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2421.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2421,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2421.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2421,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2421.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2421,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2421.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2421,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2421.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2421,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2422.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2422,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2422.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2422,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2422.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2422,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2422.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2422,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2422.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2422,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2423.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":10,\"seed\":2423,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2423.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":10,\"seed\":2423,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2423.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":10,\"seed\":2423,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2423.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":10,\"seed\":2423,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2423.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":10,\"seed\":2423,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2424.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2424,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2424.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2424,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2424.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2424,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2424.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2424,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2424.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2424,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2425.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2425,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2425.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2425,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2425.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2425,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2425.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2425,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2425.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2425,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2426.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2426,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2426.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2426,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2426.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2426,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2426.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2426,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2426.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2426,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2427.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":2427,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2427.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":2427,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2427.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":2427,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2427.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":2427,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2427.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":13,\"seed\":2427,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2428.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2428,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2428.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2428,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2428.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2428,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2428.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2428,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2428.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2428,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2429.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2429,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2429.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2429,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2429.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2429,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2429.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2429,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2429.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2429,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2430.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2430,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2430.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2430,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2430.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2430,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2430.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2430,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2430.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2430,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2431.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2431,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2431.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2431,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2431.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2431,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2431.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2431,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2431.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2431,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2432.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2432,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2432.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2432,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2432.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2432,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2432.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2432,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2432.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2432,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2433.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":83,\"num_hole_tiles\":16,\"seed\":2433,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2433.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":83,\"num_hole_tiles\":16,\"seed\":2433,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2433.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":83,\"num_hole_tiles\":16,\"seed\":2433,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2433.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (83)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":83,\"num_hole_tiles\":16,\"seed\":2433,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2433.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":83,\"num_hole_tiles\":16,\"seed\":2433,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2434.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2434,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2434.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2434,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2434.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2434,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2434.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2434,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2434.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2434,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2435.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2435,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2435.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2435,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2435.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2435,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2435.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2435,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2435.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2435,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2436.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2436,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2436.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2436,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2436.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2436,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2436.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2436,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2436.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2436,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2437.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2437,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2437.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2437,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2437.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2437,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2437.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2437,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2437.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2437,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2438.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2438,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2438.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2438,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2438.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2438,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2438.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2438,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2438.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2438,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2439.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2439,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2439.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2439,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2439.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2439,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2439.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2439,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2439.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":2439,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2440.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2440,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2440.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2440,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2440.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2440,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2440.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2440,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2440.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2440,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2441.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2441,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2441.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2441,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2441.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2441,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2441.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2441,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2441.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2441,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2442.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":198,\"num_hole_tiles\":16,\"seed\":2442,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2442.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":198,\"num_hole_tiles\":16,\"seed\":2442,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2442.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":198,\"num_hole_tiles\":16,\"seed\":2442,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2442.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (198)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":198,\"num_hole_tiles\":16,\"seed\":2442,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2442.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":198,\"num_hole_tiles\":16,\"seed\":2442,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_2443.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2443,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2443.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2443,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2443.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2443,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2443.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2443,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2443.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2443,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2444.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2444,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2444.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2444,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2444.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2444,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2444.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2444,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2444.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2444,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2445.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2445,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2445.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2445,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2445.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2445,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2445.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2445,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2445.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2445,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2446.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2446,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2446.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2446,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2446.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2446,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2446.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2446,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2446.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2446,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2447.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2447,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2447.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2447,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2447.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2447,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2447.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2447,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2447.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2447,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2448.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":19,\"seed\":2448,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2448.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":19,\"seed\":2448,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2448.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":19,\"seed\":2448,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2448.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (29)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":19,\"seed\":2448,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2448.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":19,\"seed\":2448,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2449.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2449,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2449.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2449,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2449.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2449,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2449.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2449,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2449.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2449,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2450.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2450,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2450.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2450,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2450.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2450,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2450.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2450,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2450.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2450,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2451.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2451,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2451.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2451,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2451.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2451,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2451.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2451,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2451.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2451,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2452.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2452,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2452.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2452,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2452.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2452,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2452.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2452,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2452.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2452,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2453.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2453,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2453.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2453,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2453.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2453,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2453.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2453,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2453.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2453,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2454.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2454,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2454.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2454,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2454.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2454,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2454.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2454,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2454.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":20,\"seed\":2454,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2455.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2455,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2455.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2455,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2455.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2455,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2455.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2455,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2455.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2455,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2456.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2456,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2456.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2456,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2456.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2456,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2456.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2456,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2456.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2456,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2457.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2457,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2457.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2457,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2457.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2457,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2457.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2457,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2457.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2457,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2458.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2458,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2458.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2458,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2458.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2458,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2458.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2458,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2458.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2458,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2459.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2459,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2459.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2459,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2459.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2459,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2459.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2459,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2459.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2459,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2460.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2460,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2460.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2460,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2460.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2460,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2460.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2460,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2460.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2460,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2461.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2461,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2461.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2461,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2461.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2461,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2461.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2461,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2461.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2461,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2462.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2462,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2462.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2462,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2462.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2462,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2462.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2462,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2462.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2462,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2463.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2463,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2463.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2463,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2463.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2463,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2463.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2463,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2463.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":13,\"seed\":2463,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2464.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2464,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2464.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2464,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2464.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2464,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2464.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2464,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2464.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2464,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2465.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2465,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2465.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2465,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2465.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2465,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2465.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2465,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2465.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2465,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2466.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":2466,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2466.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":2466,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2466.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":2466,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2466.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":2466,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2466.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":19,\"seed\":2466,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2467.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2467,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2467.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2467,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2467.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2467,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2467.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2467,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2467.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2467,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2468.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2468,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2468.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2468,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2468.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2468,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2468.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2468,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2468.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2468,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2469.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2469,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2469.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2469,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2469.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2469,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2469.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2469,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2469.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2469,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2470.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2470,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2470.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2470,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2470.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2470,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2470.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2470,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2470.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2470,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2471.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2471,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2471.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2471,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2471.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2471,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2471.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2471,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2471.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2471,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2472.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2472,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2472.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2472,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2472.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2472,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2472.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2472,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2472.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2472,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2473.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2473,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2473.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2473,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2473.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2473,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2473.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2473,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2473.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2473,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2474.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2474,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2474.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2474,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2474.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2474,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2474.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2474,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2474.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2474,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2475.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2475,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2475.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2475,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2475.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2475,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2475.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2475,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2475.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2475,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2476.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2476,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2476.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2476,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2476.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2476,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2476.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2476,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2476.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2476,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2477.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2477,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2477.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2477,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2477.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2477,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2477.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2477,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2477.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2477,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2478.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2478,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2478.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2478,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2478.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2478,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2478.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2478,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2478.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":21,\"seed\":2478,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2479.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2479,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2479.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2479,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2479.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2479,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2479.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2479,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2479.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2479,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2480.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2480,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2480.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2480,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2480.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2480,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2480.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2480,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2480.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":12,\"seed\":2480,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2481.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2481,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2481.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2481,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2481.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2481,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2481.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (11)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2481,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2481.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":11,\"num_hole_tiles\":16,\"seed\":2481,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2482.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2482,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2482.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2482,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2482.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2482,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2482.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2482,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2482.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2482,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2483.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2483,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2483.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2483,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2483.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2483,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2483.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2483,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2483.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2483,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2484.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2484,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2484.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2484,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2484.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2484,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2484.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2484,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2484.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":15,\"seed\":2484,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2485.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2485,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2485.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2485,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2485.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2485,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2485.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2485,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2485.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2485,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2486.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2486,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2486.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2486,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2486.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2486,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2486.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2486,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2486.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2486,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2487.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2487,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2487.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2487,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2487.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2487,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2487.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2487,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2487.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":16,\"seed\":2487,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2488.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2488,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2488.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2488,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2488.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2488,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2488.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2488,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2488.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2488,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2489.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2489,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2489.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2489,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2489.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2489,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2489.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2489,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2489.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2489,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2490.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2490,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2490.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2490,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2490.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2490,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2490.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2490,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2490.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2490,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2491.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2491,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2491.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2491,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2491.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2491,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2491.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2491,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2491.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2491,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2492.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2492,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2492.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2492,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2492.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2492,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2492.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2492,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2492.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2492,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2493.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":13,\"seed\":2493,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2493.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":13,\"seed\":2493,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2493.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":13,\"seed\":2493,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2493.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (19)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":13,\"seed\":2493,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2493.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":19,\"num_hole_tiles\":13,\"seed\":2493,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2494.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2494,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2494.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2494,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2494.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2494,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2494.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2494,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2494.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2494,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2495.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2495,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2495.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2495,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2495.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2495,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2495.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2495,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2495.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2495,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2496.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2496,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2496.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2496,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2496.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2496,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2496.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2496,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2496.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2496,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2497.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2497,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2497.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2497,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2497.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2497,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2497.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2497,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2497.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2497,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2498.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2498,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2498.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2498,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2498.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2498,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2498.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2498,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2498.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2498,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2499.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":12,\"seed\":2499,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2499.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":12,\"seed\":2499,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2499.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":12,\"seed\":2499,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2499.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (38)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":12,\"seed\":2499,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2499.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":38,\"num_hole_tiles\":12,\"seed\":2499,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2500.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2500,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2500.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2500,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2500.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2500,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2500.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2500,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2500.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2500,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2501.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2501,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2501.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2501,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2501.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2501,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2501.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2501,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2501.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2501,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2502.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":2502,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2502.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":2502,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2502.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":2502,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2502.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":2502,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2502.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":15,\"seed\":2502,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2503.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2503,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2503.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2503,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2503.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2503,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2503.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2503,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2503.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2503,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2504.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2504,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2504.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2504,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2504.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2504,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2504.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2504,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2504.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2504,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2505.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2505,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2505.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2505,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2505.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2505,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2505.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2505,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2505.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2505,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2506.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2506,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2506.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2506,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2506.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2506,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2506.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2506,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2506.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2506,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2507.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2507,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2507.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2507,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2507.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2507,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2507.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2507,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2507.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2507,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2508.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2508,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2508.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2508,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2508.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2508,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2508.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2508,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2508.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2508,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2509.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":2509,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2509.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":2509,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2509.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":2509,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2509.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":2509,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2509.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":9,\"seed\":2509,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2510.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2510,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2510.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2510,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2510.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2510,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2510.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2510,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2510.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2510,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2511.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2511,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2511.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2511,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2511.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2511,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2511.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2511,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2511.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":7,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":19,\"seed\":2511,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2512.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2512,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2512.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2512,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2512.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2512,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2512.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2512,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2512.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2512,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2513.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2513,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2513.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2513,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2513.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2513,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2513.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2513,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2513.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2513,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2514.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2514,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2514.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2514,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2514.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2514,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2514.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2514,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2514.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2514,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2515.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2515,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2515.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2515,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2515.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2515,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2515.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2515,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2515.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2515,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2516.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2516,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2516.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2516,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2516.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2516,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2516.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2516,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2516.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2516,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2517.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2517,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2517.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2517,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2517.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2517,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2517.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2517,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2517.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":14,\"seed\":2517,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2518.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2518,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2518.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2518,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2518.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2518,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2518.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2518,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2518.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2518,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2519.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2519,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2519.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2519,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2519.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2519,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2519.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2519,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2519.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2519,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2520.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2520,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2520.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2520,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2520.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2520,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2520.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2520,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2520.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2520,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2521.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2521,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2521.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2521,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2521.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2521,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2521.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2521,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2521.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2521,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2522.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2522,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2522.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2522,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2522.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2522,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2522.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2522,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2522.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2522,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2523.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2523,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2523.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2523,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2523.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2523,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2523.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2523,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2523.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2523,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2524.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2524,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2524.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2524,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2524.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2524,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2524.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2524,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2524.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2524,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2525.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2525,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2525.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2525,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2525.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2525,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2525.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2525,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2525.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2525,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2526.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":2526,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2526.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":2526,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2526.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":2526,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2526.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":2526,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2526.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":14,\"seed\":2526,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2527.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2527,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2527.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2527,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2527.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2527,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2527.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2527,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2527.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2527,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2528.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2528,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2528.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2528,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2528.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2528,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2528.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2528,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2528.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2528,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2529.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2529,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2529.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2529,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2529.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2529,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2529.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2529,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2529.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2529,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2530.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2530,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2530.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2530,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2530.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2530,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2530.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2530,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2530.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2530,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2531.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2531,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2531.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2531,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2531.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2531,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2531.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2531,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2531.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2531,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2532.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":18,\"seed\":2532,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2532.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":18,\"seed\":2532,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2532.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":18,\"seed\":2532,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2532.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (25)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":18,\"seed\":2532,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2532.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":18,\"seed\":2532,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2533.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2533,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2533.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2533,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2533.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2533,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2533.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2533,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2533.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2533,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2534.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2534,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2534.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2534,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2534.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2534,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2534.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2534,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2534.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2534,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2535.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":16,\"seed\":2535,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2535.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":16,\"seed\":2535,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2535.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":16,\"seed\":2535,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2535.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":16,\"seed\":2535,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2535.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":16,\"seed\":2535,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2536.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2536,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2536.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2536,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2536.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2536,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2536.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2536,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2536.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2536,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2537.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2537,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2537.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2537,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2537.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2537,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2537.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2537,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2537.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2537,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2538.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2538,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2538.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2538,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2538.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2538,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2538.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2538,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2538.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2538,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2539.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2539,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2539.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2539,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2539.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2539,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2539.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2539,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2539.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2539,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2540.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2540,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2540.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2540,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2540.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2540,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2540.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2540,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2540.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2540,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2541.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2541,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2541.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2541,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2541.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2541,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2541.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2541,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2541.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2541,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2542.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2542,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2542.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2542,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2542.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2542,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2542.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2542,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2542.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2542,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2543.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2543,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2543.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2543,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2543.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2543,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2543.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2543,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2543.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2543,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2544.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2544,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2544.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2544,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2544.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2544,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2544.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2544,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2544.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2544,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2545.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2545,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2545.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2545,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2545.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2545,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2545.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2545,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2545.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2545,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2546.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2546,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2546.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2546,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2546.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2546,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2546.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2546,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2546.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2546,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2547.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":2547,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2547.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":2547,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2547.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":2547,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2547.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":2547,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2547.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":16,\"seed\":2547,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2548.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2548,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2548.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2548,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2548.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2548,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2548.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2548,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2548.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2548,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2549.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":2549,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2549.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":2549,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2549.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":2549,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2549.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":2549,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2549.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":13,\"seed\":2549,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2550.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2550,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2550.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2550,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2550.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2550,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2550.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2550,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2550.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2550,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2551.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2551,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2551.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2551,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2551.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2551,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2551.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2551,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2551.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2551,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2552.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2552,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2552.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2552,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2552.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2552,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2552.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2552,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2552.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2552,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2553.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2553,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2553.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2553,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2553.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2553,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2553.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2553,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2553.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2553,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2554.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2554,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2554.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2554,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2554.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2554,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2554.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2554,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2554.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2554,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2555.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2555,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2555.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2555,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2555.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2555,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2555.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2555,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2555.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2555,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2556.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2556,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2556.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2556,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2556.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2556,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2556.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2556,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2556.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2556,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2557.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2557,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2557.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2557,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2557.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2557,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2557.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2557,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2557.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2557,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2558.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2558,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2558.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2558,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2558.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2558,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2558.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2558,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2558.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2558,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2559.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2559,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2559.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2559,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2559.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2559,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2559.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2559,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2559.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":8,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2559,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2560.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2560,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2560.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2560,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2560.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2560,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2560.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2560,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2560.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2560,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2561.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2561,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2561.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2561,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2561.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2561,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2561.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2561,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2561.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2561,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2562.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2562,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2562.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2562,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2562.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2562,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2562.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2562,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2562.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2562,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2563.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2563,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2563.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2563,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2563.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2563,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2563.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2563,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2563.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2563,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2564.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2564,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2564.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2564,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2564.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2564,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2564.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2564,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2564.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2564,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2565.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2565,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2565.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2565,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2565.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2565,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2565.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2565,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2565.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2565,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2566.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2566,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2566.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2566,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2566.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2566,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2566.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2566,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2566.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2566,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2567.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2567,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2567.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2567,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2567.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2567,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2567.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2567,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2567.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2567,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2568.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2568,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2568.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2568,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2568.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2568,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2568.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2568,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2568.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":18,\"seed\":2568,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2569.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2569,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2569.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2569,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2569.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2569,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2569.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2569,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2569.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2569,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2570.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2570,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2570.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2570,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2570.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2570,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2570.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2570,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2570.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 13 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":13,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2570,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2571.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2571,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2571.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2571,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2571.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2571,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2571.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2571,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2571.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2571,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2572.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2572,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2572.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2572,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2572.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2572,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2572.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2572,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2572.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2572,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2573.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2573,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2573.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2573,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2573.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2573,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2573.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2573,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2573.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":11,\"seed\":2573,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2574.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2574,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2574.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2574,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2574.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2574,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2574.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2574,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2574.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2574,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2575.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2575,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2575.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2575,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2575.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2575,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2575.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2575,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2575.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2575,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2576.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2576,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2576.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2576,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2576.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2576,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2576.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2576,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2576.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2576,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2577.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2577,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2577.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2577,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2577.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2577,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2577.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2577,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2577.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2577,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2578.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2578,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2578.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2578,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2578.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2578,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2578.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2578,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2578.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2578,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2579.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2579,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2579.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2579,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2579.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2579,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2579.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2579,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2579.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2579,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2580.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2580,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2580.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2580,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2580.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2580,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2580.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2580,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2580.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2580,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2581.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2581,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2581.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2581,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2581.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2581,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2581.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2581,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2581.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2581,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2582.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2582,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2582.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2582,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2582.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2582,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2582.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2582,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2582.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2582,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2583.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":2583,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2583.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":2583,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2583.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":2583,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2583.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":2583,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2583.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":16,\"seed\":2583,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2584.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2584,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2584.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2584,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2584.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2584,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2584.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2584,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2584.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2584,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2585.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2585,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2585.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2585,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2585.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2585,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2585.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2585,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2585.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2585,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2586.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2586,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2586.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2586,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2586.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2586,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2586.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2586,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2586.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2586,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2587.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2587,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2587.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2587,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2587.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2587,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2587.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2587,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2587.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2587,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2588.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2588,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2588.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2588,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2588.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2588,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2588.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2588,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2588.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2588,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2589.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2589,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2589.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2589,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2589.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2589,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2589.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2589,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2589.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2589,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2590.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":15,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2590,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2590.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":15,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2590,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2590.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":15,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2590,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2590.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":15,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2590,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2590.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (9 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":15,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2590,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2591.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2591,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2591.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2591,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2591.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2591,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2591.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2591,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2591.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2591,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2592.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":2592,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2592.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":2592,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2592.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":2592,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2592.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":2592,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2592.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":17,\"seed\":2592,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2593.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2593,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2593.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2593,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2593.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2593,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2593.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2593,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2593.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2593,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2594.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2594,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2594.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2594,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2594.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2594,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2594.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2594,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2594.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2594,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2595.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2595,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2595.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2595,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2595.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2595,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2595.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2595,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2595.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2595,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2596.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2596,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2596.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2596,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2596.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2596,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2596.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2596,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2596.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2596,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2597.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2597,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2597.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2597,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2597.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2597,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2597.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2597,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2597.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2597,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2598.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2598,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2598.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2598,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2598.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2598,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2598.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2598,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2598.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2598,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2599.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":2599,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2599.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":2599,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2599.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":2599,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2599.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":2599,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2599.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":6,\"seed\":2599,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2600.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2600,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2600.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2600,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2600.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2600,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2600.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2600,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2600.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2600,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2601.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2601,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2601.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2601,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2601.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2601,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2601.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2601,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2601.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2601,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2602.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2602,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2602.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2602,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2602.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2602,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2602.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2602,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2602.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2602,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2603.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2603,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2603.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2603,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2603.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2603,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2603.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2603,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2603.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2603,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2604.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2604,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2604.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2604,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2604.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2604,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2604.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2604,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2604.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2604,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2605.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":7,\"seed\":2605,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2605.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":7,\"seed\":2605,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2605.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":7,\"seed\":2605,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2605.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":7,\"seed\":2605,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2605.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":7,\"seed\":2605,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2606.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2606,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2606.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2606,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2606.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2606,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2606.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2606,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2606.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2606,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2607.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2607,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2607.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2607,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2607.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2607,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2607.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2607,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2607.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2607,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2608.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2608,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2608.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2608,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2608.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2608,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2608.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2608,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2608.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3743,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":5,\"seed\":2608,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2609.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2609,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2609.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2609,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2609.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2609,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2609.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2609,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2609.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2609,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2610.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2610,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2610.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2610,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2610.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2610,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2610.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2610,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2610.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2610,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2611.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":7,\"seed\":2611,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2611.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":7,\"seed\":2611,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2611.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":7,\"seed\":2611,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2611.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":7,\"seed\":2611,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2611.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":7,\"seed\":2611,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2612.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2612,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2612.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2612,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2612.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2612,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2612.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2612,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2612.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2612,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2613.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2613,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2613.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2613,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2613.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2613,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2613.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2613,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2613.png","prompt":"If the walkable tile marked with a purple X at axial position (1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2613,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2614.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2614,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2614.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2614,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2614.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2614,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2614.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2614,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2614.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2614,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2615.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2615,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2615.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2615,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2615.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2615,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2615.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2615,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2615.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2615,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2616.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2616,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2616.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2616,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2616.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2616,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2616.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2616,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2616.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2616,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2617.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2617,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2617.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2617,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2617.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2617,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2617.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2617,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2617.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":6,\"seed\":2617,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2618.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2618,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2618.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2618,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2618.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2618,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2618.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2618,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2618.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2618,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2619.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2619,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2619.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2619,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2619.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2619,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2619.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2619,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2619.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":17,\"seed\":2619,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2620.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2620,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2620.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2620,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2620.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2620,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2620.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2620,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2620.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2620,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2621.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2621,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2621.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2621,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2621.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2621,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2621.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2621,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2621.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2621,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2622.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2622,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2622.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2622,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2622.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2622,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2622.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2622,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2622.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2622,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2623.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2623,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2623.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2623,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2623.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2623,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2623.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2623,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2623.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2623,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2624.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2624,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2624.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2624,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2624.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2624,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2624.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2624,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2624.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2624,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2625.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2625,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2625.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2625,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2625.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2625,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2625.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2625,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2625.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2625,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2626.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2626,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2626.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2626,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2626.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2626,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2626.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2626,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2626.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2626,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2627.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2627,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2627.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2627,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2627.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2627,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2627.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2627,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2627.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2627,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2628.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2628,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2628.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2628,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2628.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2628,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2628.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2628,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2628.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2628,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2629.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2629,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2629.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2629,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2629.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2629,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2629.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2629,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2629.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2629,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2630.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2630,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2630.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2630,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2630.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2630,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2630.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2630,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2630.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2630,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2631.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2631,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2631.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2631,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2631.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2631,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2631.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2631,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2631.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2631,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2632.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2632,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2632.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2632,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2632.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2632,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2632.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2632,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2632.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2632,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2633.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2633,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2633.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2633,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2633.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2633,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2633.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2633,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2633.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2633,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2634.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2634,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2634.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2634,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2634.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2634,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2634.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2634,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2634.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6837,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2634,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2635.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2635,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2635.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2635,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2635.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2635,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2635.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2635,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2635.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2635,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2636.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2636,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2636.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2636,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2636.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2636,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2636.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2636,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2636.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2636,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2637.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2637,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2637.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2637,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2637.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2637,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2637.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2637,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2637.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":13,\"seed\":2637,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2638.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2638,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2638.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2638,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2638.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2638,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2638.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2638,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2638.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2638,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2639.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2639,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2639.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2639,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2639.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2639,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2639.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2639,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2639.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":13,\"seed\":2639,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2640.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":2640,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2640.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":2640,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2640.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":2640,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2640.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":2640,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2640.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":21,\"seed\":2640,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2641.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2641,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2641.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2641,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2641.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2641,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2641.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2641,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2641.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2641,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2642.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2642,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2642.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2642,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2642.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2642,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2642.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2642,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2642.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2642,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2643.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2643,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2643.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2643,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2643.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2643,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2643.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2643,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2643.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":20,\"seed\":2643,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2644.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2644,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2644.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2644,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2644.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2644,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2644.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2644,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2644.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2644,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2645.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2645,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2645.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2645,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2645.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2645,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2645.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2645,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2645.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2645,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2646.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2646,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2646.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2646,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2646.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2646,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2646.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2646,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2646.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":20,\"seed\":2646,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2647.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2647,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2647.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2647,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2647.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2647,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2647.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2647,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2647.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2647,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2648.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2648,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2648.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2648,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2648.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2648,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2648.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2648,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2648.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":13,\"seed\":2648,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2649.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2649,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2649.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2649,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2649.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2649,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2649.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2649,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2649.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2649,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2650.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2650,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2650.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2650,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2650.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2650,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2650.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2650,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2650.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2650,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2651.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2651,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2651.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2651,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2651.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2651,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2651.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2651,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2651.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":11,\"seed\":2651,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2652.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2652,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2652.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2652,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2652.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2652,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2652.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2652,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2652.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":16,\"seed\":2652,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2653.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2653,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2653.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2653,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2653.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2653,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2653.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2653,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2653.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":7,\"seed\":2653,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2654.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2654,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2654.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2654,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2654.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2654,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2654.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2654,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2654.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2654,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2655.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":20,\"seed\":2655,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2655.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":20,\"seed\":2655,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2655.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":20,\"seed\":2655,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2655.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (30)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":20,\"seed\":2655,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2655.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":30,\"num_hole_tiles\":20,\"seed\":2655,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2656.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2656,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2656.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2656,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2656.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2656,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2656.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2656,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2656.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2656,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2657.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2657,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2657.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2657,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2657.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2657,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2657.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2657,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2657.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2657,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2658.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":2658,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2658.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":2658,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2658.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":2658,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2658.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":2658,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2658.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":18,\"seed\":2658,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2659.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2659,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2659.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2659,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2659.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2659,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2659.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2659,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2659.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2659,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2660.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":2660,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2660.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":2660,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2660.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":2660,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2660.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":2660,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2660.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":9,\"seed\":2660,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2661.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2661,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2661.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2661,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2661.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2661,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2661.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2661,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2661.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2661,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2662.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2662,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2662.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2662,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2662.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2662,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2662.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2662,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2662.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2662,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2663.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2663,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2663.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2663,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2663.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2663,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2663.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2663,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2663.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":11,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":14,\"seed\":2663,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2664.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":2664,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2664.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":2664,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2664.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":2664,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2664.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (24)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":2664,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2664.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":24,\"num_hole_tiles\":19,\"seed\":2664,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2665.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2665,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2665.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2665,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2665.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2665,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2665.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2665,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2665.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2665,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2666.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2666,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2666.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2666,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2666.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2666,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2666.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2666,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2666.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2666,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2667.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2667,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2667.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2667,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2667.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2667,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2667.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2667,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2667.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2667,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2668.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2668,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2668.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2668,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2668.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2668,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2668.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2668,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2668.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2668,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2669.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2669,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2669.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2669,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2669.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2669,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2669.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2669,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2669.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2669,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2670.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2670,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2670.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2670,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2670.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2670,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2670.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2670,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2670.png","prompt":"If the walkable tile marked with a purple X at axial position (2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2670,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2671.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2671,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2671.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2671,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2671.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2671,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2671.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2671,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2671.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2671,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2672.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2672,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2672.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2672,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2672.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2672,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2672.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2672,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2672.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2672,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2673.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2673,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2673.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2673,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2673.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2673,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2673.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2673,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2673.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2673,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2674.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2674,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2674.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2674,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2674.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2674,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2674.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2674,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2674.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2674,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2675.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2675,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2675.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2675,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2675.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2675,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2675.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2675,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2675.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2675,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2676.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2676,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2676.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2676,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2676.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2676,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2676.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (17)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2676,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2676.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":17,\"num_hole_tiles\":20,\"seed\":2676,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2677.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2677,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2677.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2677,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2677.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2677,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2677.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2677,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2677.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2677,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2678.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2678,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2678.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2678,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2678.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2678,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2678.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2678,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2678.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2678,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2679.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2679,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2679.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2679,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2679.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2679,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2679.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2679,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2679.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2679,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2680.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2680,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2680.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2680,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2680.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2680,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2680.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2680,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2680.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2680,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2681.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2681,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2681.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2681,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2681.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2681,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2681.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2681,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2681.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":12,\"seed\":2681,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2682.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":2682,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2682.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":2682,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2682.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":2682,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2682.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":2682,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2682.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":19,\"seed\":2682,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2683.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2683,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2683.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2683,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2683.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2683,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2683.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2683,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2683.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2683,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2684.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2684,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2684.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2684,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2684.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2684,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2684.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2684,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2684.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2684,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2685.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":17,\"seed\":2685,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2685.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":17,\"seed\":2685,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2685.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":17,\"seed\":2685,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2685.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (20)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":17,\"seed\":2685,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2685.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":12,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":20,\"num_hole_tiles\":17,\"seed\":2685,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2686.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2686,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2686.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2686,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2686.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2686,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2686.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2686,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2686.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2686,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2687.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2687,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2687.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2687,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2687.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2687,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2687.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2687,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2687.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2687,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2688.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2688,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2688.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2688,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2688.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2688,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2688.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2688,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2688.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2688,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2689.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2689,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2689.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2689,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2689.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2689,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2689.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2689,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2689.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2689,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2690.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2690,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2690.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2690,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2690.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2690,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2690.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2690,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2690.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2690,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2691.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2691,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2691.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2691,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2691.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2691,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2691.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2691,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2691.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":19,\"seed\":2691,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2692.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2692,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2692.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2692,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2692.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2692,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2692.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2692,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2692.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2692,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2693.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":2693,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2693.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":2693,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2693.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":2693,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2693.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (18)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":2693,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2693.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":18,\"num_hole_tiles\":12,\"seed\":2693,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2694.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2694,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2694.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2694,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2694.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2694,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2694.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2694,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2694.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2694,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2695.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2695,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2695.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2695,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2695.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2695,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2695.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2695,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2695.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2695,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2696.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2696,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2696.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2696,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2696.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2696,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2696.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2696,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2696.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2696,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2697.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2697,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2697.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2697,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2697.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2697,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2697.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2697,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2697.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6877,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2697,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2698.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2698,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2698.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2698,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2698.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2698,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2698.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2698,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2698.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2698,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2699.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2699,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2699.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2699,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2699.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2699,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2699.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2699,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2699.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2699,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2700.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2700,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2700.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2700,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2700.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2700,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2700.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2700,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2700.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2700,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2701.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2701,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2701.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2701,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2701.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2701,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2701.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2701,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2701.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2701,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2702.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2702,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2702.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2702,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2702.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2702,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2702.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2702,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2702.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":10,\"seed\":2702,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2703.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":11,\"seed\":2703,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2703.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":11,\"seed\":2703,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2703.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":11,\"seed\":2703,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2703.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (31)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":11,\"seed\":2703,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2703.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":11,\"seed\":2703,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2704.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2704,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2704.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2704,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2704.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2704,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2704.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2704,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2704.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2704,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2705.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2705,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2705.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2705,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2705.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2705,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2705.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2705,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2705.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2705,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2706.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2706,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2706.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2706,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2706.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2706,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2706.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2706,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2706.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2706,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2707.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2707,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2707.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2707,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2707.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2707,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2707.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2707,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2707.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2707,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2708.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2708,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2708.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2708,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2708.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2708,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2708.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2708,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2708.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":11,\"seed\":2708,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2709.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2709,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2709.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2709,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2709.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2709,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2709.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2709,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2709.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2709,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2710.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2710,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2710.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2710,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2710.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2710,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2710.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2710,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2710.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2710,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2711.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2711,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2711.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2711,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2711.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2711,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2711.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2711,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2711.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2711,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2712.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2712,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2712.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2712,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2712.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2712,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2712.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2712,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2712.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2712,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2713.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2713,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2713.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2713,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2713.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2713,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2713.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2713,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2713.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2713,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2714.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2714,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2714.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2714,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2714.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2714,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2714.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2714,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2714.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2714,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2715.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2715,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2715.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2715,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2715.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2715,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2715.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2715,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2715.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":19,\"seed\":2715,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2716.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2716,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2716.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2716,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2716.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2716,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2716.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2716,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2716.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2716,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2717.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2717,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2717.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2717,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2717.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2717,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2717.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2717,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2717.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":9,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2717,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2718.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2718,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2718.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2718,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2718.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2718,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2718.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2718,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2718.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2718,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2719.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2719,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2719.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2719,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2719.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2719,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2719.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2719,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2719.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2719,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2720.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2720,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2720.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2720,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2720.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2720,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2720.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2720,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2720.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2720,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2721.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2721,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2721.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2721,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2721.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2721,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2721.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2721,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2721.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2721,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2722.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2722,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2722.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2722,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2722.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2722,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2722.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2722,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2722.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":9,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2722,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2723.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2723,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2723.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2723,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2723.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2723,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2723.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2723,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2723.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2723,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2724.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2724,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2724.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2724,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2724.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2724,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2724.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2724,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2724.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2724,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2725.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":6,\"seed\":2725,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2725.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":6,\"seed\":2725,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2725.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":6,\"seed\":2725,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2725.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":6,\"seed\":2725,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2725.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":6,\"seed\":2725,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2726.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2726,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2726.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2726,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2726.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2726,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2726.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2726,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2726.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2726,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2727.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2727,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2727.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2727,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2727.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2727,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2727.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2727,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2727.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2727,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2728.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2728,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2728.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2728,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2728.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2728,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2728.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2728,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2728.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2728,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2729.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2729,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2729.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2729,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2729.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2729,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2729.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2729,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2729.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2729,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2730.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2730,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2730.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2730,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2730.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2730,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2730.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2730,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2730.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2730,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2731.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2731,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2731.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2731,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2731.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2731,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2731.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2731,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2731.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2731,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2732.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2732,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2732.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2732,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2732.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2732,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2732.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2732,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2732.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2732,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2733.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2733,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2733.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2733,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2733.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2733,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2733.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2733,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2733.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2733,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2734.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2734,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2734.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2734,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2734.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2734,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2734.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2734,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2734.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2734,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2735.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2735,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2735.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2735,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2735.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2735,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2735.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2735,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2735.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2735,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2736.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2736,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2736.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2736,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2736.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2736,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2736.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2736,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2736.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2736,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2737.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2737,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2737.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2737,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2737.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2737,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2737.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2737,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2737.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":5,\"seed\":2737,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2738.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2738,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2738.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2738,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2738.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2738,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2738.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2738,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2738.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2738,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2739.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2739,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2739.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2739,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2739.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2739,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2739.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2739,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2739.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":20,\"seed\":2739,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2740.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2740,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2740.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2740,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2740.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2740,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2740.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2740,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2740.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2740,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2741.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2741,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2741.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2741,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2741.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2741,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2741.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2741,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2741.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2741,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2742.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2742,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2742.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2742,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2742.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2742,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2742.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2742,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2742.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2742,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2743.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2743,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2743.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2743,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2743.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2743,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2743.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2743,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2743.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2743,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2744.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2744,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2744.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2744,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2744.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2744,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2744.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2744,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2744.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2744,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2745.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2745,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2745.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2745,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2745.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2745,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2745.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2745,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2745.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2745,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2746.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2746,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2746.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2746,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2746.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2746,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2746.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2746,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2746.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2746,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2747.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2747,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2747.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2747,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2747.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2747,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2747.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2747,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2747.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2747,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2748.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2748,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2748.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2748,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2748.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2748,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2748.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2748,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2748.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2748,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2749.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2749,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2749.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2749,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2749.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2749,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2749.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2749,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2749.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2749,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2750.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2750,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2750.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2750,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2750.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2750,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2750.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2750,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2750.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2750,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2751.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2751,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2751.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2751,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2751.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2751,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2751.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2751,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2751.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":15,\"seed\":2751,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2752.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2752,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2752.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2752,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2752.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2752,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2752.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2752,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2752.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2752,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2753.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2753,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2753.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2753,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2753.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2753,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2753.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2753,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2753.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":12,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2753,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2754.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2754,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2754.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2754,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2754.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2754,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2754.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2754,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2754.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":20,\"seed\":2754,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2755.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2755,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2755.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2755,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2755.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2755,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2755.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2755,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2755.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":6,\"seed\":2755,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2756.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2756,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2756.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2756,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2756.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2756,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2756.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2756,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2756.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2756,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2757.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2757,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2757.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2757,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2757.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2757,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2757.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2757,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2757.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2757,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2758.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2758,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2758.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2758,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2758.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2758,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2758.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2758,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2758.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2758,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2759.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2759,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2759.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2759,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2759.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2759,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2759.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2759,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2759.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2759,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2760.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2760,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2760.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2760,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2760.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2760,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2760.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2760,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2760.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":21,\"seed\":2760,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2761.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2761,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2761.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2761,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2761.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2761,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2761.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2761,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2761.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":6,\"seed\":2761,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2762.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2762,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2762.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2762,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2762.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2762,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2762.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2762,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2762.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2762,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2763.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2763,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2763.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2763,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2763.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2763,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2763.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2763,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2763.png","prompt":"If the walkable tile marked with a purple X at axial position (2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":15,\"seed\":2763,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2764.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2764,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2764.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2764,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2764.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2764,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2764.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2764,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2764.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2764,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2765.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2765,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2765.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2765,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2765.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2765,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2765.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2765,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2765.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2765,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2766.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2766,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2766.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2766,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2766.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2766,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2766.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2766,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2766.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2766,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2767.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2767,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2767.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2767,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2767.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2767,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2767.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2767,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2767.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2767,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2768.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2768,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2768.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2768,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2768.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2768,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2768.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2768,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2768.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2768,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2769.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2769,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2769.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2769,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2769.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2769,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2769.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2769,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2769.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2769,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2770.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2770,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2770.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2770,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2770.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2770,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2770.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2770,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2770.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2770,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2771.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2771,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2771.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2771,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2771.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2771,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2771.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2771,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2771.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2771,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2772.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":14,\"seed\":2772,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2772.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":14,\"seed\":2772,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2772.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":14,\"seed\":2772,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2772.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":14,\"seed\":2772,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2772.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":14,\"seed\":2772,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2773.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2773,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2773.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2773,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2773.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2773,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2773.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2773,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2773.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":6,\"seed\":2773,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2774.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2774,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2774.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2774,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2774.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2774,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2774.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2774,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2774.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2774,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2775.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2775,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2775.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2775,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2775.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2775,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2775.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2775,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2775.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":11,\"seed\":2775,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2776.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2776,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2776.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2776,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2776.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2776,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2776.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2776,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2776.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2776,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2777.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2777,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2777.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2777,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2777.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2777,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2777.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2777,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2777.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2777,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2778.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2778,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2778.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2778,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2778.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2778,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2778.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2778,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2778.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2778,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2779.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2779,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2779.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2779,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2779.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2779,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2779.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2779,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2779.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2779,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2780.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2780,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2780.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2780,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2780.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2780,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2780.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2780,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2780.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2780,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2781.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2781,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2781.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2781,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2781.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2781,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2781.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2781,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2781.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2781,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2782.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2782,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2782.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2782,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2782.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2782,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2782.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2782,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2782.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2782,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2783.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2783,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2783.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2783,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2783.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2783,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2783.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2783,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2783.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2783,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2784.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":72,\"num_hole_tiles\":17,\"seed\":2784,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2784.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":72,\"num_hole_tiles\":17,\"seed\":2784,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2784.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":72,\"num_hole_tiles\":17,\"seed\":2784,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2784.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (72)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":72,\"num_hole_tiles\":17,\"seed\":2784,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2784.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":72,\"num_hole_tiles\":17,\"seed\":2784,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2785.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":8,\"seed\":2785,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2785.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":8,\"seed\":2785,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2785.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":8,\"seed\":2785,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2785.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":8,\"seed\":2785,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2785.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":8,\"seed\":2785,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2786.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2786,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2786.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2786,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2786.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2786,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2786.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2786,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2786.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2786,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2787.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2787,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2787.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2787,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2787.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2787,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2787.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2787,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2787.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6956,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":18,\"seed\":2787,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2788.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2788,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2788.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2788,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2788.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2788,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2788.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2788,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2788.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2788,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2789.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2789,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2789.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2789,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2789.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2789,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2789.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2789,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2789.png","prompt":"If the walkable tile marked with a purple X at axial position (1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":9,\"seed\":2789,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2790.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2790,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2790.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2790,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2790.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2790,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2790.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2790,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2790.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2790,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2791.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2791,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2791.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2791,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2791.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2791,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2791.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2791,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2791.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2791,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2792.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2792,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2792.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2792,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2792.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2792,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2792.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2792,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2792.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2792,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2793.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2793,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2793.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2793,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2793.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2793,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2793.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2793,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2793.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8018,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.120879,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":11,\"seed\":2793,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2794.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2794,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2794.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2794,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2794.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2794,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2794.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2794,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2794.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2794,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2795.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2795,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2795.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2795,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2795.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2795,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2795.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2795,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2795.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2795,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2796.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2796,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2796.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2796,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2796.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2796,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2796.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2796,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2796.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":18,\"seed\":2796,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2797.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2797,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2797.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2797,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2797.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2797,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2797.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2797,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2797.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":6,\"seed\":2797,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2798.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2798,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2798.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2798,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2798.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2798,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2798.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2798,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2798.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2798,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2799.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2799,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2799.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2799,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2799.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2799,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2799.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2799,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2799.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":19,\"seed\":2799,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2800.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2800,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2800.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2800,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2800.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2800,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2800.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2800,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2800.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":8,\"seed\":2800,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2801.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":8,\"seed\":2801,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2801.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":8,\"seed\":2801,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2801.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":8,\"seed\":2801,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2801.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (16)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":8,\"seed\":2801,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2801.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":16,\"num_hole_tiles\":8,\"seed\":2801,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2802.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2802,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2802.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2802,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2802.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2802,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2802.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2802,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2802.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":15,\"seed\":2802,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2803.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2803,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2803.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2803,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2803.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2803,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2803.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2803,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2803.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":5,\"seed\":2803,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2804.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2804,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2804.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2804,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2804.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2804,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2804.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2804,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2804.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2804,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2805.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2805,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2805.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2805,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2805.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2805,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2805.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2805,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2805.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2805,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2806.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2806,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2806.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2806,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2806.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2806,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2806.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2806,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2806.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2806,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2807.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2807,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2807.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2807,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2807.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2807,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2807.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2807,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2807.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2807,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2808.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":2808,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2808.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":2808,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2808.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":2808,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2808.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":2808,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2808.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":12,\"seed\":2808,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2809.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2809,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2809.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2809,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2809.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2809,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2809.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2809,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2809.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2809,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2810.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2810,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2810.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2810,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2810.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2810,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2810.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2810,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2810.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":11,\"seed\":2810,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2811.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":42,\"num_hole_tiles\":16,\"seed\":2811,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2811.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":42,\"num_hole_tiles\":16,\"seed\":2811,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2811.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":42,\"num_hole_tiles\":16,\"seed\":2811,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2811.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (42)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":42,\"num_hole_tiles\":16,\"seed\":2811,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2811.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":42,\"num_hole_tiles\":16,\"seed\":2811,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2812.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2812,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2812.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2812,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2812.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2812,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2812.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2812,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2812.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2812,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2813.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2813,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2813.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2813,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2813.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2813,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2813.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2813,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2813.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":15,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2813,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2814.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":2814,\"shortest_path_length\":15}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2814.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":2814,\"shortest_path_length\":15}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2814.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":2814,\"shortest_path_length\":15}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2814.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":2814,\"shortest_path_length\":15}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2814.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":22,\"seed\":2814,\"shortest_path_length\":15}"}
{"task":"Image Description","image":"hex_pathfinding_2815.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2815,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2815.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2815,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2815.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2815,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2815.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2815,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2815.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":7,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2815,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2816.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2816,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2816.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2816,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2816.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2816,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2816.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2816,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2816.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2816,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2817.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2817,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2817.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2817,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2817.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2817,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2817.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (21)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2817,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2817.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":21,\"num_hole_tiles\":14,\"seed\":2817,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2818.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2818,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2818.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2818,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2818.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2818,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2818.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2818,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2818.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2818,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2819.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2819,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2819.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2819,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2819.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2819,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2819.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2819,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2819.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2819,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2820.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2820,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2820.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2820,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2820.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2820,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2820.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2820,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2820.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":14,\"seed\":2820,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2821.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2821,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2821.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2821,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2821.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2821,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2821.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2821,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2821.png","prompt":"If the walkable tile marked with a purple X at axial position (0,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2821,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2822.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2822,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2822.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2822,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2822.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2822,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2822.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2822,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2822.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2822,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2823.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2823,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2823.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2823,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2823.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2823,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2823.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2823,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2823.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2823,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2824.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2824,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2824.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2824,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2824.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2824,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2824.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2824,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2824.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2824,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2825.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2825,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2825.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2825,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2825.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2825,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2825.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2825,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2825.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":10,\"seed\":2825,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2826.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2826,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2826.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2826,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2826.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2826,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2826.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2826,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2826.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2826,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2827.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":2827,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2827.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":2827,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2827.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":2827,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2827.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":2827,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2827.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":7,\"seed\":2827,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2828.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2828,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2828.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2828,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2828.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2828,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2828.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2828,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2828.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 11 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":11,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":10,\"seed\":2828,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2829.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":2829,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2829.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":2829,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2829.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":2829,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2829.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":2829,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2829.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":5,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":14,\"seed\":2829,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2830.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2830,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2830.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2830,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2830.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2830,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2830.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2830,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2830.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2830,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2831.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2831,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2831.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2831,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2831.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2831,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2831.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2831,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2831.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2831,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2832.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2832,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2832.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2832,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2832.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2832,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2832.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2832,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2832.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2832,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2833.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2833,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2833.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2833,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2833.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2833,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2833.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2833,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2833.png","prompt":"If the walkable tile marked with a purple X at axial position (3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2833,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2834.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2834,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2834.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2834,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2834.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2834,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2834.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2834,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2834.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":12,\"seed\":2834,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2835.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2835,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2835.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2835,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2835.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2835,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2835.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2835,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2835.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2835,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2836.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2836,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2836.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2836,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2836.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2836,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2836.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2836,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2836.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2836,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2837.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2837,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2837.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2837,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2837.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2837,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2837.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2837,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2837.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2837,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2838.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2838,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2838.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2838,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2838.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2838,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2838.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2838,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2838.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2838,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2839.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2839,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2839.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2839,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2839.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2839,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2839.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2839,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2839.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2839,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2840.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2840,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2840.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2840,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2840.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2840,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2840.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2840,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2840.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2840,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2841.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2841,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2841.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2841,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2841.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2841,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2841.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2841,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2841.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2841,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2842.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2842,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2842.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2842,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2842.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2842,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2842.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2842,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2842.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2842,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2843.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2843,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2843.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2843,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2843.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2843,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2843.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2843,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2843.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2843,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2844.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2844,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2844.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2844,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2844.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2844,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2844.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2844,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2844.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":22,\"seed\":2844,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2845.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2845,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2845.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2845,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2845.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2845,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2845.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2845,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2845.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2845,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2846.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2846,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2846.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2846,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2846.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2846,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2846.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2846,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2846.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2846,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2847.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2847,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2847.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2847,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2847.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2847,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2847.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2847,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2847.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2847,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2848.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2848,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2848.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2848,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2848.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2848,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2848.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2848,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2848.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2848,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2849.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2849,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2849.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2849,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2849.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2849,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2849.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2849,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2849.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2849,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2850.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2850,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2850.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2850,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2850.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2850,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2850.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2850,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2850.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2850,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2851.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2851,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2851.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2851,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2851.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2851,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2851.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2851,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2851.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2851,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2852.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2852,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2852.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2852,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2852.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2852,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2852.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2852,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2852.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2852,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2853.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2853,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2853.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2853,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2853.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2853,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2853.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2853,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2853.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":15,\"seed\":2853,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2854.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2854,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2854.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2854,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2854.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2854,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2854.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2854,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2854.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2854,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2855.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2855,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2855.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2855,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2855.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2855,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2855.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2855,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2855.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":10,\"seed\":2855,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2856.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2856,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2856.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2856,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2856.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2856,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2856.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2856,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2856.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2856,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2857.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2857,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2857.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2857,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2857.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2857,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2857.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2857,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2857.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2857,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2858.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2858,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2858.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2858,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2858.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2858,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2858.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2858,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2858.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2858,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2859.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2859,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2859.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2859,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2859.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2859,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2859.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2859,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2859.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":18,\"seed\":2859,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2860.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2860,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2860.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2860,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2860.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2860,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2860.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2860,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2860.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2860,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2861.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2861,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2861.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2861,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2861.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2861,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2861.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2861,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2861.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2861,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2862.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2862,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2862.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2862,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2862.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2862,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2862.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2862,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2862.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":18,\"seed\":2862,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2863.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2863,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2863.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2863,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2863.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2863,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2863.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2863,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2863.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2863,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2864.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2864,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2864.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2864,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2864.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2864,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2864.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2864,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2864.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2864,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2865.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2865,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2865.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2865,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2865.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2865,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2865.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2865,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2865.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":17,\"seed\":2865,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2866.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2866,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2866.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2866,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2866.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2866,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2866.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2866,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2866.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2866,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2867.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2867,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2867.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2867,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2867.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2867,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2867.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2867,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2867.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":11,\"seed\":2867,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2868.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":2868,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2868.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":2868,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2868.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":2868,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2868.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":2868,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2868.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":17,\"seed\":2868,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2869.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2869,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2869.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2869,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2869.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2869,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2869.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2869,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2869.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2869,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2870.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2870,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2870.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2870,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2870.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2870,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2870.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (14)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2870,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2870.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":14,\"num_hole_tiles\":11,\"seed\":2870,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2871.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":2871,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2871.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":2871,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2871.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":2871,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2871.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (13)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":2871,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2871.png","prompt":"If the walkable tile marked with a purple X at axial position (4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":13,\"num_hole_tiles\":15,\"seed\":2871,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2872.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2872,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2872.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2872,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2872.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2872,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2872.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2872,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2872.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2872,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2873.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2873,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2873.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2873,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2873.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2873,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2873.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2873,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2873.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":8,\"seed\":2873,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2874.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2874,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2874.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2874,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2874.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2874,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2874.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2874,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2874.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":18,\"seed\":2874,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2875.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2875,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2875.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2875,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2875.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2875,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2875.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2875,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2875.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2875,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2876.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2876,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2876.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2876,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2876.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2876,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2876.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2876,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2876.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":9,\"seed\":2876,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2877.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2877,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2877.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2877,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2877.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2877,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2877.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2877,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2877.png","prompt":"If the walkable tile marked with a purple X at axial position (0,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6857,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2877,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2878.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2878,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2878.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2878,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2878.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2878,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2878.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2878,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2878.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2878,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2879.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2879,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2879.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2879,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2879.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2879,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2879.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2879,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2879.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2879,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2880.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2880,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2880.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2880,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2880.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2880,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2880.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2880,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2880.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":17,\"seed\":2880,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2881.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2881,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2881.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2881,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2881.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2881,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2881.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2881,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2881.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2881,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2882.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":2882,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2882.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":2882,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2882.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":2882,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2882.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":2882,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2882.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 12 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":12,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":10,\"seed\":2882,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2883.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2883,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2883.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2883,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2883.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2883,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2883.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2883,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2883.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":13,\"seed\":2883,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2884.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2884,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2884.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2884,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2884.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2884,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2884.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2884,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2884.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":7,\"seed\":2884,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2885.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2885,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2885.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2885,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2885.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2885,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2885.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2885,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2885.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":6,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":11,\"seed\":2885,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2886.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2886,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2886.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2886,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2886.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2886,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2886.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2886,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2886.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2886,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2887.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2887,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2887.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2887,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2887.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2887,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2887.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2887,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2887.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2887,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2888.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2888,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2888.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2888,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2888.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2888,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2888.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2888,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2888.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2888,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2889.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2889,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2889.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2889,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2889.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2889,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2889.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2889,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2889.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":14,\"seed\":2889,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2890.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2890,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2890.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2890,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2890.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2890,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2890.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2890,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2890.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2890,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2891.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2891,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2891.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2891,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2891.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2891,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2891.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2891,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2891.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":9,\"seed\":2891,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2892.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2892,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2892.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2892,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2892.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2892,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2892.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2892,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2892.png","prompt":"If the walkable tile marked with a purple X at axial position (3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":21,\"seed\":2892,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2893.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2893,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2893.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2893,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2893.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2893,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2893.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2893,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2893.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2893,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2894.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2894,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2894.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2894,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2894.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2894,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2894.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2894,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2894.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2894,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2895.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2895,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2895.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2895,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2895.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2895,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2895.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2895,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2895.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2895,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2896.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2896,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2896.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2896,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2896.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2896,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2896.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2896,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2896.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2896,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2897.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":22,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2897,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2897.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":22,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2897,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2897.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":22,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2897,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2897.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":22,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2897,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2897.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":22,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2897,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2898.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2898,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2898.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2898,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2898.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2898,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2898.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2898,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2898.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6976,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":19,\"seed\":2898,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2899.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2899,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2899.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2899,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2899.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2899,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2899.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2899,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2899.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":11,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":9,\"seed\":2899,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2900.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2900,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2900.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2900,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2900.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2900,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2900.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2900,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2900.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":12,\"seed\":2900,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2901.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2901,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2901.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2901,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2901.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2901,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2901.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2901,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2901.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":19,\"seed\":2901,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2902.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2902,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2902.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2902,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2902.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2902,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2902.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2902,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2902.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2902,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2903.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2903,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2903.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2903,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2903.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2903,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2903.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2903,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2903.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2903,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2904.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"22","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":2904,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2904.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":2904,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2904.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":2904,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2904.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":2904,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2904.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8235,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.241758,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":22,\"seed\":2904,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2905.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2905,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2905.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2905,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2905.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2905,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2905.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2905,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2905.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2905,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2906.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2906,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2906.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2906,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2906.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2906,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2906.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2906,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2906.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2906,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2907.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":2907,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2907.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":2907,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2907.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":2907,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2907.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (26)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":2907,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2907.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":26,\"num_hole_tiles\":12,\"seed\":2907,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2908.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2908,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2908.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2908,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2908.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2908,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2908.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2908,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2908.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5138,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2908,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2909.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2909,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2909.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2909,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2909.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2909,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2909.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2909,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2909.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6943,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.245902,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":15,\"seed\":2909,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2910.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2910,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2910.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2910,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2910.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2910,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2910.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2910,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2910.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6916,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":16,\"seed\":2910,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2911.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2911,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2911.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2911,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2911.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2911,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2911.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2911,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2911.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":5,\"seed\":2911,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2912.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2912,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2912.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2912,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2912.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2912,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2912.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2912,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2912.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2912,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2913.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2913,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2913.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2913,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2913.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2913,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2913.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (9)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2913,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2913.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":9,\"num_hole_tiles\":20,\"seed\":2913,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2914.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2914,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2914.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2914,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2914.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2914,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2914.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2914,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2914.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2914,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2915.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2915,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2915.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2915,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2915.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2915,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2915.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2915,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2915.png","prompt":"If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2915,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2916.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":2916,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2916.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":2916,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2916.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":2916,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2916.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (12)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":2916,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2916.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":12,\"num_hole_tiles\":14,\"seed\":2916,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2917.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2917,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2917.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2917,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2917.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2917,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2917.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2917,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2917.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2917,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2918.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2918,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2918.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2918,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2918.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2918,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2918.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2918,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2918.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2918,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2919.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2919,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2919.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2919,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2919.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2919,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2919.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2919,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2919.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":17,\"seed\":2919,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2920.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2920,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2920.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2920,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2920.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2920,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2920.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2920,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2920.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2920,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2921.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2921,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2921.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2921,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2921.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2921,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2921.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2921,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2921.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":5,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2921,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2922.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2922,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2922.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2922,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2922.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2922,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2922.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2922,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2922.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":15,\"seed\":2922,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2923.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2923,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2923.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2923,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2923.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2923,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2923.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2923,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2923.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2923,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2924.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2924,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2924.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2924,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2924.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2924,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2924.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2924,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2924.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":10,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2924,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2925.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2925,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2925.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2925,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2925.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2925,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2925.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2925,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2925.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":18,\"seed\":2925,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2926.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2926,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2926.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2926,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2926.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2926,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2926.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2926,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2926.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3792,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":6,\"seed\":2926,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2927.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2927,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2927.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2927,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2927.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2927,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2927.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2927,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2927.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2927,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2928.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":19,\"seed\":2928,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2928.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":19,\"seed\":2928,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2928.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":19,\"seed\":2928,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2928.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (25)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":19,\"seed\":2928,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2928.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":25,\"num_hole_tiles\":19,\"seed\":2928,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2929.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2929,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2929.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2929,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2929.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2929,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2929.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2929,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2929.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2929,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2930.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2930,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2930.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2930,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2930.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2930,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2930.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2930,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2930.png","prompt":"If the walkable tile marked with a purple X at axial position (2,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2930,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2931.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2931,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2931.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2931,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2931.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2931,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2931.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2931,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2931.png","prompt":"If the walkable tile marked with a purple X at axial position (3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":19,\"seed\":2931,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2932.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2932,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2932.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2932,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2932.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2932,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2932.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2932,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2932.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":7,\"seed\":2932,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2933.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2933,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2933.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2933,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2933.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2933,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2933.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2933,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2933.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2933,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2934.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2934,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2934.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2934,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2934.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2934,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2934.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2934,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2934.png","prompt":"If the walkable tile marked with a purple X at axial position (1,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8057,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.142857,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2934,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2935.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2935,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2935.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2935,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2935.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2935,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2935.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2935,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2935.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":6,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":8,\"seed\":2935,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2936.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2936,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2936.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2936,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2936.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2936,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2936.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2936,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2936.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":14,\"seed\":2936,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2937.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2937,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2937.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2937,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2937.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2937,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2937.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2937,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2937.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":18,\"seed\":2937,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2938.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2938,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2938.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2938,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2938.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2938,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2938.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2938,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2938.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (8 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2938,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2939.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2939,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2939.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2939,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2939.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2939,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2939.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2939,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2939.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5684,\"generation_attempt\":8,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":13,\"seed\":2939,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2940.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2940,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2940.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2940,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2940.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2940,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2940.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2940,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2940.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":14,\"seed\":2940,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2941.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2941,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2941.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2941,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2941.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2941,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2941.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2941,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2941.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2941,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2942.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2942,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2942.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2942,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2942.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2942,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2942.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2942,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2942.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6736,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2942,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2943.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2943,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2943.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2943,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2943.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2943,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2943.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2943,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2943.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6936,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":17,\"seed\":2943,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2944.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2944,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2944.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2944,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2944.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2944,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2944.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2944,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2944.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":5,\"seed\":2944,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2945.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2945,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2945.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2945,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2945.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2945,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2945.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2945,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2945.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6913,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2945,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2946.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"18","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2946,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2946.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2946,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2946.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2946,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2946.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2946,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2946.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8156,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.197802,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":18,\"seed\":2946,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2947.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2947,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2947.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2947,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2947.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2947,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2947.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2947,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2947.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2947,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2948.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2948,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2948.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2948,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2948.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2948,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2948.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2948,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2948.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6795,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":10,\"seed\":2948,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2949.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":20,\"seed\":2949,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2949.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":20,\"seed\":2949,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2949.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":20,\"seed\":2949,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2949.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (29)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":20,\"seed\":2949,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2949.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":29,\"num_hole_tiles\":20,\"seed\":2949,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2950.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2950,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2950.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2950,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2950.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2950,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2950.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2950,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2950.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2950,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2951.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2951,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2951.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2951,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2951.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2951,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2951.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2951,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2951.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":2,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":13,\"seed\":2951,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2952.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":2952,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2952.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":2952,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2952.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":2952,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2952.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (8)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":2952,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2952.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":8,\"num_hole_tiles\":21,\"seed\":2952,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2953.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2953,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2953.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2953,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2953.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2953,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2953.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2953,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2953.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":2,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":8,\"seed\":2953,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2954.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2954,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2954.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2954,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2954.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2954,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2954.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2954,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2954.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2954,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2955.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2955,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2955.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2955,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2955.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2955,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2955.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2955,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2955.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":14,\"seed\":2955,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2956.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2956,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2956.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2956,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2956.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2956,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2956.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2956,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2956.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2956,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2957.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2957,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2957.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2957,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2957.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2957,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2957.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2957,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2957.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 8 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":8,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":13,\"seed\":2957,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2958.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2958,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2958.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2958,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2958.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2958,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2958.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2958,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2958.png","prompt":"If the walkable tile marked with a purple X at axial position (1,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":17,\"seed\":2958,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2959.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2959,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2959.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2959,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2959.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2959,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2959.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2959,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2959.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":6,\"seed\":2959,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2960.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":2960,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2960.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":2960,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2960.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":2960,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2960.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (15)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":2960,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2960.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":15,\"num_hole_tiles\":9,\"seed\":2960,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2961.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2961,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2961.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2961,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2961.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2961,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2961.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2961,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2961.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8097,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":15,\"seed\":2961,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2962.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2962,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2962.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2962,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2962.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2962,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2962.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2962,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2962.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2962,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2963.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2963,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2963.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2963,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2963.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2963,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2963.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2963,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2963.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":9,\"seed\":2963,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2964.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2964,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2964.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2964,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2964.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2964,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2964.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2964,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2964.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8077,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.153846,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":14,\"seed\":2964,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2965.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2965,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2965.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2965,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2965.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2965,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2965.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2965,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2965.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3938,\"generation_attempt\":5,\"grid_radius\":3,\"hole_density\":0.243243,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2965,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2966.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":13,\"seed\":2966,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2966.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":13,\"seed\":2966,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2966.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":13,\"seed\":2966,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2966.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (28)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":13,\"seed\":2966,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2966.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6884,\"generation_attempt\":4,\"grid_radius\":4,\"hole_density\":0.213115,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":28,\"num_hole_tiles\":13,\"seed\":2966,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2967.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"15","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2967,\"shortest_path_length\":13}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2967.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2967,\"shortest_path_length\":13}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2967.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"13","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2967,\"shortest_path_length\":13}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2967.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2967,\"shortest_path_length\":13}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2967.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6897,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.164835,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":15,\"seed\":2967,\"shortest_path_length\":13}"}
{"task":"Image Description","image":"hex_pathfinding_2968.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2968,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2968.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2968,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2968.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2968,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2968.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2968,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2968.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":7,\"seed\":2968,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2969.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2969,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2969.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2969,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2969.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2969,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2969.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2969,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2969.png","prompt":"If the walkable tile marked with a purple X at axial position (3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6766,\"generation_attempt\":7,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":9,\"seed\":2969,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2970.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2970,\"shortest_path_length\":12}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2970.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2970,\"shortest_path_length\":12}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2970.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2970,\"shortest_path_length\":12}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2970.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2970,\"shortest_path_length\":12}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2970.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":17,\"seed\":2970,\"shortest_path_length\":12}"}
{"task":"Image Description","image":"hex_pathfinding_2971.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2971,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2971.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2971,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2971.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2971,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2971.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2971,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2971.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":5,\"seed\":2971,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2972.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2972,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2972.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2972,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2972.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2972,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2972.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2972,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2972.png","prompt":"If the walkable tile marked with a purple X at axial position (1,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5625,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":11,\"seed\":2972,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2973.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2973,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2973.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2973,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2973.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2973,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2973.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2973,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2973.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":6,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":20,\"seed\":2973,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2974.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2974,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2974.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2974,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2974.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2974,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2974.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2974,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2974.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":1,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":7,\"seed\":2974,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2975.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"14","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2975,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2975.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2975,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2975.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2975,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2975.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2975,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2975.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5713,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.229508,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":14,\"seed\":2975,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2976.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2976,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2976.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2976,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2976.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2976,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2976.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2976,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2976.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8037,\"generation_attempt\":4,\"grid_radius\":5,\"hole_density\":0.131868,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":12,\"seed\":2976,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2977.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2977,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2977.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2977,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2977.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2977,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2977.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2977,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2977.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2977,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2978.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2978,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2978.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2978,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2978.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2978,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2978.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2978,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2978.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 7 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5595,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.163934,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":10,\"seed\":2978,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2979.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"19","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2979,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2979.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2979,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2979.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2979,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2979.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (5)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2979,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2979.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-4) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8176,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.208791,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":5,\"num_hole_tiles\":19,\"seed\":2979,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2980.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2980,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2980.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2980,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2980.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2980,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2980.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2980,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2980.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3841,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":7,\"seed\":2980,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2981.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2981,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2981.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2981,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2981.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2981,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2981.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2981,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2981.png","prompt":"If the walkable tile marked with a purple X at axial position (0,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6825,\"generation_attempt\":3,\"grid_radius\":4,\"hole_density\":0.180328,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":11,\"seed\":2981,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2982.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"17","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2982,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2982.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2982,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2982.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2982,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2982.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2982,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2982.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8136,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.186813,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":17,\"seed\":2982,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2983.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2983,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2983.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2983,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2983.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2983,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2983.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (6)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2983,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2983.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (5 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":4,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":5,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":6,\"num_hole_tiles\":8,\"seed\":2983,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2984.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2984,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2984.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2984,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2984.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2984,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2984.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2984,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2984.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":12,\"seed\":2984,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2985.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"21","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2985,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2985.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2985,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2985.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2985,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2985.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2985,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2985.png","prompt":"If the walkable tile marked with a purple X at axial position (-4,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8215,\"generation_attempt\":3,\"grid_radius\":5,\"hole_density\":0.230769,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":21,\"seed\":2985,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2986.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2986,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2986.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2986,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2986.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2986,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2986.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2986,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2986.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.3889,\"generation_attempt\":3,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2986,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2987.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2987,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2987.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2987,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2987.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2987,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2987.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2987,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2987.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5654,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":12,\"seed\":2987,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2988.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":2988,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2988.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":2988,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2988.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":2988,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2988.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (31)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":2988,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2988.png","prompt":"If the walkable tile marked with a purple X at axial position (5,-3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":31,\"num_hole_tiles\":16,\"seed\":2988,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2989.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2989,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2989.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2989,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2989.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2989,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2989.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2989,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2989.png","prompt":"If the walkable tile marked with a purple X at axial position (2,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4992,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.162162,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":6,\"seed\":2989,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2990.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2990,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2990.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2990,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2990.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2990,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2990.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2990,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2990.png","prompt":"If the walkable tile marked with a purple X at axial position (0,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5566,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.147541,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":9,\"seed\":2990,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2991.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2991,\"shortest_path_length\":10}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2991.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2991,\"shortest_path_length\":10}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2991.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"10","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2991,\"shortest_path_length\":10}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2991.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2991,\"shortest_path_length\":10}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2991.png","prompt":"If the walkable tile marked with a purple X at axial position (4,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":2,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":16,\"seed\":2991,\"shortest_path_length\":10}"}
{"task":"Image Description","image":"hex_pathfinding_2992.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2992,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2992.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2992,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2992.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2992,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2992.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (7)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2992,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2992.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (7 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.4943,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.135135,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":7,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":7,\"num_hole_tiles\":5,\"seed\":2992,\"shortest_path_length\":7}"}
{"task":"Image Description","image":"hex_pathfinding_2993.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2993,\"shortest_path_length\":5}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2993.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2993,\"shortest_path_length\":5}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2993.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"5","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2993,\"shortest_path_length\":5}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2993.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2993,\"shortest_path_length\":5}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2993.png","prompt":"If the walkable tile marked with a purple X at axial position (0,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 6 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5536,\"generation_attempt\":1,\"grid_radius\":4,\"hole_density\":0.131148,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":8,\"seed\":2993,\"shortest_path_length\":5}"}
{"task":"Image Description","image":"hex_pathfinding_2994.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2994,\"shortest_path_length\":11}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2994.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2994,\"shortest_path_length\":11}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2994.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"11","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2994,\"shortest_path_length\":11}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2994.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"unique","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2994,\"shortest_path_length\":11}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2994.png","prompt":"If the walkable tile marked with a purple X at axial position (1,-5) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6996,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":1,\"num_hole_tiles\":20,\"seed\":2994,\"shortest_path_length\":11}"}
{"task":"Image Description","image":"hex_pathfinding_2995.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2995,\"shortest_path_length\":6}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2995.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2995,\"shortest_path_length\":6}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2995.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"6","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2995,\"shortest_path_length\":6}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2995.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (2)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2995,\"shortest_path_length\":6}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2995.png","prompt":"If the walkable tile marked with a purple X at axial position (-2,2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (6 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5041,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.189189,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":6,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":2,\"num_hole_tiles\":7,\"seed\":2995,\"shortest_path_length\":6}"}
{"task":"Image Description","image":"hex_pathfinding_2996.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2996,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2996.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2996,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2996.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2996,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2996.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2996,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2996.png","prompt":"If the walkable tile marked with a purple X at axial position (0,-2) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 9 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":9,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2996,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_2997.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"16","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2997,\"shortest_path_length\":9}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2997.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2997,\"shortest_path_length\":9}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2997.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"9","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2997,\"shortest_path_length\":9}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2997.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2997,\"shortest_path_length\":9}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2997.png","prompt":"If the walkable tile marked with a purple X at axial position (-5,0) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8116,\"generation_attempt\":0,\"grid_radius\":5,\"hole_density\":0.175824,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":16,\"seed\":2997,\"shortest_path_length\":9}"}
{"task":"Image Description","image":"hex_pathfinding_2998.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2998,\"shortest_path_length\":4}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2998.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2998,\"shortest_path_length\":4}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2998.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"4","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2998,\"shortest_path_length\":4}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2998.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (3)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2998,\"shortest_path_length\":4}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2998.png","prompt":"If the walkable tile marked with a purple X at axial position (-3,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"stay the same (4 moves)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.5089,\"generation_attempt\":0,\"grid_radius\":3,\"hole_density\":0.216216,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":4,\"level5_outcome\":\"same\",\"num_alternate_shortest_paths\":3,\"num_hole_tiles\":8,\"seed\":2998,\"shortest_path_length\":4}"}
{"task":"Image Description","image":"hex_pathfinding_2999.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"12","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2999,\"shortest_path_length\":8}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_2999.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"walkable","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2999,\"shortest_path_length\":8}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_2999.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"8","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2999,\"shortest_path_length\":8}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_2999.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (4)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2999,\"shortest_path_length\":8}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_2999.png","prompt":"If the walkable tile marked with a purple X at axial position (-1,3) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"increase to 10 moves","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.6854,\"generation_attempt\":0,\"grid_radius\":4,\"hole_density\":0.196721,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":10,\"level5_outcome\":\"increase\",\"num_alternate_shortest_paths\":4,\"num_hole_tiles\":12,\"seed\":2999,\"shortest_path_length\":8}"}
{"task":"Image Description","image":"hex_pathfinding_3000.png","prompt":"How many grey (hole) tiles are shown in this grid?","groundtruth":"20","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":3000,\"shortest_path_length\":7}"}
{"task":"Basic Relational Reasoning","image":"hex_pathfinding_3000.png","prompt":"Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.","groundtruth":"hole","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":3000,\"shortest_path_length\":7}"}
{"task":"Comparative Reasoning","image":"hex_pathfinding_3000.png","prompt":"What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.","groundtruth":"7","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":3000,\"shortest_path_length\":7}"}
{"task":"Compound Reasoning","image":"hex_pathfinding_3000.png","prompt":"Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?","groundtruth":"multiple (10)","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":3000,\"shortest_path_length\":7}"}
{"task":"Extrapolative/Counterfactual Reasoning","image":"hex_pathfinding_3000.png","prompt":"If the walkable tile marked with a purple X at axial position (4,-1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.","groundtruth":"no valid path exists","metadata":"{\"coordinate_frame\":\"axial hex coordinates (q,r)\",\"dataset_version\":\"hex-pathfinding-2.0.0\",\"difficulty_score\":0.8196,\"generation_attempt\":1,\"grid_radius\":5,\"hole_density\":0.21978,\"level2_neighbor_direction_is_toward_home\":true,\"level5_new_shortest_path_length\":null,\"level5_outcome\":\"no_path\",\"num_alternate_shortest_paths\":10,\"num_hole_tiles\":20,\"seed\":3000,\"shortest_path_length\":7}"}